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Finding the Fourth Proportional to 159,920.97, 239,882.57 and 109,849.30

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Solution

The fourth proportional to 159,920.97, 239,882.57 and 109,849.30 is: 164,774.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,920.97 : 239,882.57 = 109,849.30 : x
  2. Step 2: Convert to fraction form
    159,920.97/239,882.57 = 109,849.30/x
  3. Step 3: Cross multiply
    159,920.97x = 239,882.57 × 109,849.30
  4. Step 4: Simplify right side
    159,920.97x = 26,350,932,559.24
  5. Step 5: Solve for x
    x = 26,350,932,559.24/159,920.97
  6. Step 6: Final answer
    x = 164,774.72

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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.