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Finding the Fourth Proportional to 123,414.60, 185,102.10 and 44,488.20

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Solution

The fourth proportional to 123,414.60, 185,102.10 and 44,488.20 is: 66,725.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,414.60 : 185,102.10 = 44,488.20 : x
  2. Step 2: Convert to fraction form
    123,414.60/185,102.10 = 44,488.20/x
  3. Step 3: Cross multiply
    123,414.60x = 185,102.10 × 44,488.20
  4. Step 4: Simplify right side
    123,414.60x = 8,234,859,245.22
  5. Step 5: Solve for x
    x = 8,234,859,245.22/123,414.60
  6. Step 6: Final answer
    x = 66,725.16

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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.