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Finding the Fourth Proportional to 202,816.10, 304,224.15 and 132,313.70

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Solution

The fourth proportional to 202,816.10, 304,224.15 and 132,313.70 is: 198,470.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,816.10 : 304,224.15 = 132,313.70 : x
  2. Step 2: Convert to fraction form
    202,816.10/304,224.15 = 132,313.70/x
  3. Step 3: Cross multiply
    202,816.10x = 304,224.15 × 132,313.70
  4. Step 4: Simplify right side
    202,816.10x = 40,253,022,915.86
  5. Step 5: Solve for x
    x = 40,253,022,915.86/202,816.10
  6. Step 6: Final answer
    x = 198,470.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.