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Finding the Fourth Proportional to 224,738.90, 337,497.15 and 146,201.30

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Solution

The fourth proportional to 224,738.90, 337,497.15 and 146,201.30 is: 219,554.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,738.90 : 337,497.15 = 146,201.30 : x
  2. Step 2: Convert to fraction form
    224,738.90/337,497.15 = 146,201.30/x
  3. Step 3: Cross multiply
    224,738.90x = 337,497.15 × 146,201.30
  4. Step 4: Simplify right side
    224,738.90x = 49,342,522,076.30
  5. Step 5: Solve for x
    x = 49,342,522,076.30/224,738.90
  6. Step 6: Final answer
    x = 219,554.88

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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.