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Finding the Fourth Proportional to 159,546.44, 220,174.50 and 86,949.90

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Solution

The fourth proportional to 159,546.44, 220,174.50 and 86,949.90 is: 119,991.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,546.44 : 220,174.50 = 86,949.90 : x
  2. Step 2: Convert to fraction form
    159,546.44/220,174.50 = 86,949.90/x
  3. Step 3: Cross multiply
    159,546.44x = 220,174.50 × 86,949.90
  4. Step 4: Simplify right side
    159,546.44x = 19,144,150,757.55
  5. Step 5: Solve for x
    x = 19,144,150,757.55/159,546.44
  6. Step 6: Final answer
    x = 119,991.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.