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Finding the Fourth Proportional to 159,929.20, 239,675.10 and 106,469.20

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Solution

The fourth proportional to 159,929.20, 239,675.10 and 106,469.20 is: 159,558.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,929.20 : 239,675.10 = 106,469.20 : x
  2. Step 2: Convert to fraction form
    159,929.20/239,675.10 = 106,469.20/x
  3. Step 3: Cross multiply
    159,929.20x = 239,675.10 × 106,469.20
  4. Step 4: Simplify right side
    159,929.20x = 25,518,016,156.92
  5. Step 5: Solve for x
    x = 25,518,016,156.92/159,929.20
  6. Step 6: Final answer
    x = 159,558.21

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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.