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Finding the Fourth Proportional to 138,542.68, 191,185.06 and 78,112.78

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Solution

The fourth proportional to 138,542.68, 191,185.06 and 78,112.78 is: 107,793.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,542.68 : 191,185.06 = 78,112.78 : x
  2. Step 2: Convert to fraction form
    138,542.68/191,185.06 = 78,112.78/x
  3. Step 3: Cross multiply
    138,542.68x = 191,185.06 × 78,112.78
  4. Step 4: Simplify right side
    138,542.68x = 14,933,996,531.07
  5. Step 5: Solve for x
    x = 14,933,996,531.07/138,542.68
  6. Step 6: Final answer
    x = 107,793.47

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