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Finding the Fourth Proportional to 100,162.88, 138,318.42 and 64,414.96

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Solution

The fourth proportional to 100,162.88, 138,318.42 and 64,414.96 is: 88,952.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,162.88 : 138,318.42 = 64,414.96 : x
  2. Step 2: Convert to fraction form
    100,162.88/138,318.42 = 64,414.96/x
  3. Step 3: Cross multiply
    100,162.88x = 138,318.42 × 64,414.96
  4. Step 4: Simplify right side
    100,162.88x = 8,909,775,491.56
  5. Step 5: Solve for x
    x = 8,909,775,491.56/100,162.88
  6. Step 6: Final answer
    x = 88,952.87

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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.