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Finding the Fourth Proportional to 159,763.56, 239,651.46 and 41,431.80

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Solution

The fourth proportional to 159,763.56, 239,651.46 and 41,431.80 is: 62,149.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,763.56 : 239,651.46 = 41,431.80 : x
  2. Step 2: Convert to fraction form
    159,763.56/239,651.46 = 41,431.80/x
  3. Step 3: Cross multiply
    159,763.56x = 239,651.46 × 41,431.80
  4. Step 4: Simplify right side
    159,763.56x = 9,929,191,360.43
  5. Step 5: Solve for x
    x = 9,929,191,360.43/159,763.56
  6. Step 6: Final answer
    x = 62,149.29

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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.