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Finding the Fourth Proportional to 267,951.24, 401,645.94 and 90,397.08

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Solution

The fourth proportional to 267,951.24, 401,645.94 and 90,397.08 is: 135,500.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,951.24 : 401,645.94 = 90,397.08 : x
  2. Step 2: Convert to fraction form
    267,951.24/401,645.94 = 90,397.08/x
  3. Step 3: Cross multiply
    267,951.24x = 401,645.94 × 90,397.08
  4. Step 4: Simplify right side
    267,951.24x = 36,307,620,169.86
  5. Step 5: Solve for x
    x = 36,307,620,169.86/267,951.24
  6. Step 6: Final answer
    x = 135,500.85

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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.