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Finding the Fourth Proportional to 224,732.10, 337,098.15 and 135,939.90

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Solution

The fourth proportional to 224,732.10, 337,098.15 and 135,939.90 is: 203,909.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,732.10 : 337,098.15 = 135,939.90 : x
  2. Step 2: Convert to fraction form
    224,732.10/337,098.15 = 135,939.90/x
  3. Step 3: Cross multiply
    224,732.10x = 337,098.15 × 135,939.90
  4. Step 4: Simplify right side
    224,732.10x = 45,825,088,801.19
  5. Step 5: Solve for x
    x = 45,825,088,801.19/224,732.10
  6. Step 6: Final answer
    x = 203,909.85

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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.