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Finding the Fourth Proportional to 138,820.68, 191,576.46 and 78,400.41

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Solution

The fourth proportional to 138,820.68, 191,576.46 and 78,400.41 is: 108,194.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,820.68 : 191,576.46 = 78,400.41 : x
  2. Step 2: Convert to fraction form
    138,820.68/191,576.46 = 78,400.41/x
  3. Step 3: Cross multiply
    138,820.68x = 191,576.46 × 78,400.41
  4. Step 4: Simplify right side
    138,820.68x = 15,019,673,010.35
  5. Step 5: Solve for x
    x = 15,019,673,010.35/138,820.68
  6. Step 6: Final answer
    x = 108,194.78

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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.