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Finding the Fourth Proportional to 150,654.60, 225,983.16 and 38,334.96

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Solution

The fourth proportional to 150,654.60, 225,983.16 and 38,334.96 is: 57,502.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,654.60 : 225,983.16 = 38,334.96 : x
  2. Step 2: Convert to fraction form
    150,654.60/225,983.16 = 38,334.96/x
  3. Step 3: Cross multiply
    150,654.60x = 225,983.16 × 38,334.96
  4. Step 4: Simplify right side
    150,654.60x = 8,663,055,399.27
  5. Step 5: Solve for x
    x = 8,663,055,399.27/150,654.60
  6. Step 6: Final answer
    x = 57,502.76

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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.