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Finding the Fourth Proportional to 159,773.28, 239,659.88 and 54,593.16

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Solution

The fourth proportional to 159,773.28, 239,659.88 and 54,593.16 is: 81,889.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,773.28 : 239,659.88 = 54,593.16 : x
  2. Step 2: Convert to fraction form
    159,773.28/239,659.88 = 54,593.16/x
  3. Step 3: Cross multiply
    159,773.28x = 239,659.88 × 54,593.16
  4. Step 4: Simplify right side
    159,773.28x = 13,083,790,174.42
  5. Step 5: Solve for x
    x = 13,083,790,174.42/159,773.28
  6. Step 6: Final answer
    x = 81,889.73

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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.