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Finding the Fourth Proportional to 225,711.28, 338,275.32 and 107,418.88

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Solution

The fourth proportional to 225,711.28, 338,275.32 and 107,418.88 is: 160,989.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,711.28 : 338,275.32 = 107,418.88 : x
  2. Step 2: Convert to fraction form
    225,711.28/338,275.32 = 107,418.88/x
  3. Step 3: Cross multiply
    225,711.28x = 338,275.32 × 107,418.88
  4. Step 4: Simplify right side
    225,711.28x = 36,337,156,006.04
  5. Step 5: Solve for x
    x = 36,337,156,006.04/225,711.28
  6. Step 6: Final answer
    x = 160,989.54

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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.