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Finding the Fourth Proportional to 224,803.26, 337,337.87 and 82,748.29

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Solution

The fourth proportional to 224,803.26, 337,337.87 and 82,748.29 is: 124,171.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,803.26 : 337,337.87 = 82,748.29 : x
  2. Step 2: Convert to fraction form
    224,803.26/337,337.87 = 82,748.29/x
  3. Step 3: Cross multiply
    224,803.26x = 337,337.87 × 82,748.29
  4. Step 4: Simplify right side
    224,803.26x = 27,914,131,894.74
  5. Step 5: Solve for x
    x = 27,914,131,894.74/224,803.26
  6. Step 6: Final answer
    x = 124,171.38

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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.