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Finding the Fourth Proportional to 159,769.26, 239,612.76 and 47,422.89

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Solution

The fourth proportional to 159,769.26, 239,612.76 and 47,422.89 is: 71,122.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,769.26 : 239,612.76 = 47,422.89 : x
  2. Step 2: Convert to fraction form
    159,769.26/239,612.76 = 47,422.89/x
  3. Step 3: Cross multiply
    159,769.26x = 239,612.76 × 47,422.89
  4. Step 4: Simplify right side
    159,769.26x = 11,363,129,560.08
  5. Step 5: Solve for x
    x = 11,363,129,560.08/159,769.26
  6. Step 6: Final answer
    x = 71,122.13

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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.