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Finding the Fourth Proportional to 150,796.25, 225,849.76 and 71,965.83

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Solution

The fourth proportional to 150,796.25, 225,849.76 and 71,965.83 is: 107,784.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,796.25 : 225,849.76 = 71,965.83 : x
  2. Step 2: Convert to fraction form
    150,796.25/225,849.76 = 71,965.83/x
  3. Step 3: Cross multiply
    150,796.25x = 225,849.76 × 71,965.83
  4. Step 4: Simplify right side
    150,796.25x = 16,253,465,433.70
  5. Step 5: Solve for x
    x = 16,253,465,433.70/150,796.25
  6. Step 6: Final answer
    x = 107,784.28

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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.