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Finding the Fourth Proportional to 267,142.56, 368,631.60 and 159,691.20

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Solution

The fourth proportional to 267,142.56, 368,631.60 and 159,691.20 is: 220,358.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,142.56 : 368,631.60 = 159,691.20 : x
  2. Step 2: Convert to fraction form
    267,142.56/368,631.60 = 159,691.20/x
  3. Step 3: Cross multiply
    267,142.56x = 368,631.60 × 159,691.20
  4. Step 4: Simplify right side
    267,142.56x = 58,867,222,561.92
  5. Step 5: Solve for x
    x = 58,867,222,561.92/267,142.56
  6. Step 6: Final answer
    x = 220,358.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.