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Finding the Fourth Proportional to 159,891.88, 239,815.94 and 47,589.43

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Solution

The fourth proportional to 159,891.88, 239,815.94 and 47,589.43 is: 71,377.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,891.88 : 239,815.94 = 47,589.43 : x
  2. Step 2: Convert to fraction form
    159,891.88/239,815.94 = 47,589.43/x
  3. Step 3: Cross multiply
    159,891.88x = 239,815.94 × 47,589.43
  4. Step 4: Simplify right side
    159,891.88x = 11,412,703,052.03
  5. Step 5: Solve for x
    x = 11,412,703,052.03/159,891.88
  6. Step 6: Final answer
    x = 71,377.63

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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.