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Finding the Fourth Proportional to 224,910.16, 337,102.94 and 82,648.24

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Solution

The fourth proportional to 224,910.16, 337,102.94 and 82,648.24 is: 123,875.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,910.16 : 337,102.94 = 82,648.24 : x
  2. Step 2: Convert to fraction form
    224,910.16/337,102.94 = 82,648.24/x
  3. Step 3: Cross multiply
    224,910.16x = 337,102.94 × 82,648.24
  4. Step 4: Simplify right side
    224,910.16x = 27,860,964,276.58
  5. Step 5: Solve for x
    x = 27,860,964,276.58/224,910.16
  6. Step 6: Final answer
    x = 123,875.97

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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.