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Finding the Fourth Proportional to 224,734.90, 337,491.15 and 146,197.30

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Solution

The fourth proportional to 224,734.90, 337,491.15 and 146,197.30 is: 219,548.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,734.90 : 337,491.15 = 146,197.30 : x
  2. Step 2: Convert to fraction form
    224,734.90/337,491.15 = 146,197.30/x
  3. Step 3: Cross multiply
    224,734.90x = 337,491.15 × 146,197.30
  4. Step 4: Simplify right side
    224,734.90x = 49,340,294,903.90
  5. Step 5: Solve for x
    x = 49,340,294,903.90/224,734.90
  6. Step 6: Final answer
    x = 219,548.88

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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.