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Finding the Fourth Proportional to 159,892.38, 239,816.69 and 47,589.93

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Solution

The fourth proportional to 159,892.38, 239,816.69 and 47,589.93 is: 71,378.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,892.38 : 239,816.69 = 47,589.93 : x
  2. Step 2: Convert to fraction form
    159,892.38/239,816.69 = 47,589.93/x
  3. Step 3: Cross multiply
    159,892.38x = 239,816.69 × 47,589.93
  4. Step 4: Simplify right side
    159,892.38x = 11,412,858,290.85
  5. Step 5: Solve for x
    x = 11,412,858,290.85/159,892.38
  6. Step 6: Final answer
    x = 71,378.38

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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.