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Finding the Fourth Proportional to 159,578.92, 239,335.21 and 47,232.78

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Solution

The fourth proportional to 159,578.92, 239,335.21 and 47,232.78 is: 70,839.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,578.92 : 239,335.21 = 47,232.78 : x
  2. Step 2: Convert to fraction form
    159,578.92/239,335.21 = 47,232.78/x
  3. Step 3: Cross multiply
    159,578.92x = 239,335.21 × 47,232.78
  4. Step 4: Simplify right side
    159,578.92x = 11,304,467,084.02
  5. Step 5: Solve for x
    x = 11,304,467,084.02/159,578.92
  6. Step 6: Final answer
    x = 70,839.35

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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.