Finding the Fourth Proportional to 204,232.24, 306,362.92 and 54,471.68
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Solution
The fourth proportional to 204,232.24, 306,362.92 and 54,471.68 is: 81,711.40
Step by Step Solution
- Step 1: Write the proportion equation
204,232.24 : 306,362.92 = 54,471.68 : x - Step 2: Convert to fraction form
204,232.24/306,362.92 = 54,471.68/x - Step 3: Cross multiply
204,232.24x = 306,362.92 × 54,471.68 - Step 4: Simplify right side
204,232.24x = 16,688,102,942.11 - Step 5: Solve for x
x = 16,688,102,942.11/204,232.24 - Step 6: Final answer
x = 81,711.40
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.