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Finding the Fourth Proportional to 159,583.43, 239,349.22 and 75,343.43

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Solution

The fourth proportional to 159,583.43, 239,349.22 and 75,343.43 is: 113,002.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,583.43 : 239,349.22 = 75,343.43 : x
  2. Step 2: Convert to fraction form
    159,583.43/239,349.22 = 75,343.43/x
  3. Step 3: Cross multiply
    159,583.43x = 239,349.22 × 75,343.43
  4. Step 4: Simplify right side
    159,583.43x = 18,033,391,202.62
  5. Step 5: Solve for x
    x = 18,033,391,202.62/159,583.43
  6. Step 6: Final answer
    x = 113,002.91

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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.