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Finding the Fourth Proportional to 267,951.91, 401,691.18 and 205,052.86

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Solution

The fourth proportional to 267,951.91, 401,691.18 and 205,052.86 is: 307,398.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,951.91 : 401,691.18 = 205,052.86 : x
  2. Step 2: Convert to fraction form
    267,951.91/401,691.18 = 205,052.86/x
  3. Step 3: Cross multiply
    267,951.91x = 401,691.18 × 205,052.86
  4. Step 4: Simplify right side
    267,951.91x = 82,367,925,295.77
  5. Step 5: Solve for x
    x = 82,367,925,295.77/267,951.91
  6. Step 6: Final answer
    x = 307,398.16

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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.