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Finding the Fourth Proportional to 224,717.96, 337,078.24 and 74,957.86

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Solution

The fourth proportional to 224,717.96, 337,078.24 and 74,957.86 is: 112,437.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,717.96 : 337,078.24 = 74,957.86 : x
  2. Step 2: Convert to fraction form
    224,717.96/337,078.24 = 74,957.86/x
  3. Step 3: Cross multiply
    224,717.96x = 337,078.24 × 74,957.86
  4. Step 4: Simplify right side
    224,717.96x = 25,266,663,522.97
  5. Step 5: Solve for x
    x = 25,266,663,522.97/224,717.96
  6. Step 6: Final answer
    x = 112,437.22

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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.