What approximate value should come in the place of question (?) mark.

(189.97 × 48.03) ÷ (1368.02 ÷ 440.98) + 86.99 % of 500.01 = ?³

The correct option is 15.

We are given the following approximation equation to solve:

$(189.97\times 48.03)÷(1368.02÷440.98)+86.99\%\text{ of }500.01={?}^3$

Step 1: Approximate each decimal value to the nearest whole number.

• 189.97 ≈ 190
• 48.03 ≈ 48
• 1368.02 ≈ 1368
• 440.98 ≈ 441
• 86.99% ≈ 87%
• 500.01 ≈ 500

Step 2: Rewrite the expression using these approximate values.

$(190\times 48)÷(1368÷441)+87\%\text{ of }500={?}^3$

Step 3: Evaluate the parts using BODMAS rules.

First, evaluate $1368÷441$:

$1368÷441\approx 3.1\approx 3.1$ (or $\frac{1368}{441}\approx 3.1$)

Next, evaluate $(190\times 48)÷3.1$:

$190\times 48=9120$

$9120÷3.102\approx 2939.9\approx 2940$

Now, calculate 87% of 500:

$87\%\text{ of }500=\frac{87}{100}\times 500=87\times 5=435$

Step 4: Combine the simplified terms.

$2940+435=3375$

Step 5: Solve for the question mark (?).

${?}^3=3375$

$?=\sqrt[3]{3375}$

$?=15$

Hence, the approximate value that should come in place of the question mark is 15.