Find the approximate value that should replace the question mark (?) in the following equation:

$\frac{?}{80.95}+23.97\%\text{of}325.09+55.96÷7.93=88.06$

The correct option is 243.

Given Equation:

$\frac{?}{80.95}+23.97\%\text{of}325.09+55.96÷7.93=88.06$

Step 1: Round off the numbers to their nearest integers to simplify calculation:
80.95 ≈ 81
23.97% ≈ 24%
325.09 ≈ 325
55.96 ≈ 56
7.93 ≈ 8
88.06 ≈ 88

Step 2: Substitute the approximate values into the equation:

$\frac{?}{81}+24\%\text{of}325+56÷8=88$

Step 3: Solve individual operations using BODMAS/PEMDAS rules:
First, perform the division operation:
56 ÷ 8 = 7
Next, calculate the percentage term:
24% of 325 = (24 / 100) × 325 = 78

Step 4: Substitute these evaluated values back into the equation:

$\frac{?}{81}+78+7=88$

$\frac{?}{81}+85=88$

Subtract 85 from both sides of the equation:

$\frac{?}{81}=88-85$

$\frac{?}{81}=3$

Multiply both sides by 81 to solve for ?:

$?=3\times 81=243$

Thus, the approximate value that should replace the question mark is 243.