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Finding the Fourth Proportional to 150,791.87, 225,843.20 and 71,961.46

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Solution

The fourth proportional to 150,791.87, 225,843.20 and 71,961.46 is: 107,777.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,791.87 : 225,843.20 = 71,961.46 : x
  2. Step 2: Convert to fraction form
    150,791.87/225,843.20 = 71,961.46/x
  3. Step 3: Cross multiply
    150,791.87x = 225,843.20 × 71,961.46
  4. Step 4: Simplify right side
    150,791.87x = 16,252,005,478.66
  5. Step 5: Solve for x
    x = 16,252,005,478.66/150,791.87
  6. Step 6: Final answer
    x = 107,777.73

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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.