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Finding the Fourth Proportional to 224,800.50, 337,328.27 and 82,627.28

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Solution

The fourth proportional to 224,800.50, 337,328.27 and 82,627.28 is: 123,987.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,800.50 : 337,328.27 = 82,627.28 : x
  2. Step 2: Convert to fraction form
    224,800.50/337,328.27 = 82,627.28/x
  3. Step 3: Cross multiply
    224,800.50x = 337,328.27 × 82,627.28
  4. Step 4: Simplify right side
    224,800.50x = 27,872,515,317.43
  5. Step 5: Solve for x
    x = 27,872,515,317.43/224,800.50
  6. Step 6: Final answer
    x = 123,987.78

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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.