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Finding the Fourth Proportional to 224,801.96, 337,195.14 and 56,323.76

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Solution

The fourth proportional to 224,801.96, 337,195.14 and 56,323.76 is: 84,483.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,801.96 : 337,195.14 = 56,323.76 : x
  2. Step 2: Convert to fraction form
    224,801.96/337,195.14 = 56,323.76/x
  3. Step 3: Cross multiply
    224,801.96x = 337,195.14 × 56,323.76
  4. Step 4: Simplify right side
    224,801.96x = 18,992,098,138.53
  5. Step 5: Solve for x
    x = 18,992,098,138.53/224,801.96
  6. Step 6: Final answer
    x = 84,483.69

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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.