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Finding the Fourth Proportional to 100,100.32, 138,251.82 and 68,213.86

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Solution

The fourth proportional to 100,100.32, 138,251.82 and 68,213.86 is: 94,212.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,100.32 : 138,251.82 = 68,213.86 : x
  2. Step 2: Convert to fraction form
    100,100.32/138,251.82 = 68,213.86/x
  3. Step 3: Cross multiply
    100,100.32x = 138,251.82 × 68,213.86
  4. Step 4: Simplify right side
    100,100.32x = 9,430,690,294.23
  5. Step 5: Solve for x
    x = 9,430,690,294.23/100,100.32
  6. Step 6: Final answer
    x = 94,212.39

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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.