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Finding the Fourth Proportional to 159,997.14, 220,767.20 and 103,375.72

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Solution

The fourth proportional to 159,997.14, 220,767.20 and 103,375.72 is: 142,639.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,997.14 : 220,767.20 = 103,375.72 : x
  2. Step 2: Convert to fraction form
    159,997.14/220,767.20 = 103,375.72/x
  3. Step 3: Cross multiply
    159,997.14x = 220,767.20 × 103,375.72
  4. Step 4: Simplify right side
    159,997.14x = 22,821,968,252.38
  5. Step 5: Solve for x
    x = 22,821,968,252.38/159,997.14
  6. Step 6: Final answer
    x = 142,639.85

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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.