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Finding the Fourth Proportional to 159,694.61, 239,132.84 and 154,964.61

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Solution

The fourth proportional to 159,694.61, 239,132.84 and 154,964.61 is: 232,049.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,694.61 : 239,132.84 = 154,964.61 : x
  2. Step 2: Convert to fraction form
    159,694.61/239,132.84 = 154,964.61/x
  3. Step 3: Cross multiply
    159,694.61x = 239,132.84 × 154,964.61
  4. Step 4: Simplify right side
    159,694.61x = 37,057,126,513.97
  5. Step 5: Solve for x
    x = 37,057,126,513.97/159,694.61
  6. Step 6: Final answer
    x = 232,049.96

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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.