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Finding the Fourth Proportional to 159,781.24, 239,680.88 and 41,449.44

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Solution

The fourth proportional to 159,781.24, 239,680.88 and 41,449.44 is: 62,176.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,781.24 : 239,680.88 = 41,449.44 : x
  2. Step 2: Convert to fraction form
    159,781.24/239,680.88 = 41,449.44/x
  3. Step 3: Cross multiply
    159,781.24x = 239,680.88 × 41,449.44
  4. Step 4: Simplify right side
    159,781.24x = 9,934,638,254.71
  5. Step 5: Solve for x
    x = 9,934,638,254.71/159,781.24
  6. Step 6: Final answer
    x = 62,176.50

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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.