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Finding the Fourth Proportional to 224,722.20, 337,472.10 and 119,746.20

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Solution

The fourth proportional to 224,722.20, 337,472.10 and 119,746.20 is: 179,826.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,722.20 : 337,472.10 = 119,746.20 : x
  2. Step 2: Convert to fraction form
    224,722.20/337,472.10 = 119,746.20/x
  3. Step 3: Cross multiply
    224,722.20x = 337,472.10 × 119,746.20
  4. Step 4: Simplify right side
    224,722.20x = 40,411,001,581.02
  5. Step 5: Solve for x
    x = 40,411,001,581.02/224,722.20
  6. Step 6: Final answer
    x = 179,826.48

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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.