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Finding the Fourth Proportional to 224,747.56, 337,134.29 and 84,507.40

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Solution

The fourth proportional to 224,747.56, 337,134.29 and 84,507.40 is: 126,765.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,747.56 : 337,134.29 = 84,507.40 : x
  2. Step 2: Convert to fraction form
    224,747.56/337,134.29 = 84,507.40/x
  3. Step 3: Cross multiply
    224,747.56x = 337,134.29 × 84,507.40
  4. Step 4: Simplify right side
    224,747.56x = 28,490,342,298.75
  5. Step 5: Solve for x
    x = 28,490,342,298.75/224,747.56
  6. Step 6: Final answer
    x = 126,765.97

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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.