Directions: Determine the approximate value that should come in place of the question mark (?) in the given mathematical expression.

$\frac{336.03}{13.98}\times \frac{47.99}{143.98}\times ?=23.99\%\text{ of }199.98$

The correct answer is 6.

We need to determine the approximate value of the question mark (?) in the following mathematical expression:

$\frac{336.03}{13.98}\times \frac{47.99}{143.98}\times ?=23.99\%\text{of}199.98$

Step 1: Round off the numbers to their nearest integers for easy calculation.
336.03 ≈ 336
13.98 ≈ 14
47.99 ≈ 48
143.98 ≈ 144
23.99% ≈ 24%
199.98 ≈ 200

Step 2: Substitute the rounded values into the expression.

$\frac{336}{14}\times \frac{48}{144}\times ?=24\%\text{of}200$

Step 3: Simplify each component of the expression.

First fraction:
$\frac{336}{14}=24$

Second fraction:
$\frac{48}{144}=\frac{1}{3}$

Right hand side:
$24\%\text{of}200=\frac{24}{100}\times 200=48$

Step 4: Solve for the question mark (?).

$24\times \frac{1}{3}\times ?=48$

$8\times ?=48$

$?=\frac{48}{8}=6$

Hence, the approximate value that should come in place of the question mark (?) is 6.