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Finding the Fourth Proportional to 224,743.40, 337,115.10 and 119,767.40

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Solution

The fourth proportional to 224,743.40, 337,115.10 and 119,767.40 is: 179,651.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,743.40 : 337,115.10 = 119,767.40 : x
  2. Step 2: Convert to fraction form
    224,743.40/337,115.10 = 119,767.40/x
  3. Step 3: Cross multiply
    224,743.40x = 337,115.10 × 119,767.40
  4. Step 4: Simplify right side
    224,743.40x = 40,375,399,027.74
  5. Step 5: Solve for x
    x = 40,375,399,027.74/224,743.40
  6. Step 6: Final answer
    x = 179,651.10

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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.