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Finding the Fourth Proportional to 138,286.32, 190,837.76 and 81,697.68

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Solution

The fourth proportional to 138,286.32, 190,837.76 and 81,697.68 is: 112,744.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,286.32 : 190,837.76 = 81,697.68 : x
  2. Step 2: Convert to fraction form
    138,286.32/190,837.76 = 81,697.68/x
  3. Step 3: Cross multiply
    138,286.32x = 190,837.76 × 81,697.68
  4. Step 4: Simplify right side
    138,286.32x = 15,591,002,248.40
  5. Step 5: Solve for x
    x = 15,591,002,248.40/138,286.32
  6. Step 6: Final answer
    x = 112,744.36

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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.