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Finding the Fourth Proportional to 215,734.47, 323,747.50 and 75,494.31

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Solution

The fourth proportional to 215,734.47, 323,747.50 and 75,494.31 is: 113,292.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,734.47 : 323,747.50 = 75,494.31 : x
  2. Step 2: Convert to fraction form
    215,734.47/323,747.50 = 75,494.31/x
  3. Step 3: Cross multiply
    215,734.47x = 323,747.50 × 75,494.31
  4. Step 4: Simplify right side
    215,734.47x = 24,441,094,126.73
  5. Step 5: Solve for x
    x = 24,441,094,126.73/215,734.47
  6. Step 6: Final answer
    x = 113,292.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.