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Finding the Fourth Proportional to 159,311.26, 238,896.78 and 84,414.14

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Solution

The fourth proportional to 159,311.26, 238,896.78 and 84,414.14 is: 126,584.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,311.26 : 238,896.78 = 84,414.14 : x
  2. Step 2: Convert to fraction form
    159,311.26/238,896.78 = 84,414.14/x
  3. Step 3: Cross multiply
    159,311.26x = 238,896.78 × 84,414.14
  4. Step 4: Simplify right side
    159,311.26x = 20,166,266,407.90
  5. Step 5: Solve for x
    x = 20,166,266,407.90/159,311.26
  6. Step 6: Final answer
    x = 126,584.06

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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.