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Finding the Fourth Proportional to 224,809.78, 337,380.83 and 106,481.30

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Solution

The fourth proportional to 224,809.78, 337,380.83 and 106,481.30 is: 159,800.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,809.78 : 337,380.83 = 106,481.30 : x
  2. Step 2: Convert to fraction form
    224,809.78/337,380.83 = 106,481.30/x
  3. Step 3: Cross multiply
    224,809.78x = 337,380.83 × 106,481.30
  4. Step 4: Simplify right side
    224,809.78x = 35,924,749,373.48
  5. Step 5: Solve for x
    x = 35,924,749,373.48/224,809.78
  6. Step 6: Final answer
    x = 159,800.65

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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.