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Finding the Fourth Proportional to 224,747.16, 337,169.99 and 84,505.78

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Solution

The fourth proportional to 224,747.16, 337,169.99 and 84,505.78 is: 126,777.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,747.16 : 337,169.99 = 84,505.78 : x
  2. Step 2: Convert to fraction form
    224,747.16/337,169.99 = 84,505.78/x
  3. Step 3: Cross multiply
    224,747.16x = 337,169.99 × 84,505.78
  4. Step 4: Simplify right side
    224,747.16x = 28,492,813,630.27
  5. Step 5: Solve for x
    x = 28,492,813,630.27/224,747.16
  6. Step 6: Final answer
    x = 126,777.19

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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.