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Finding the Fourth Proportional to 138,497.40, 191,165.62 and 81,928.44

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Solution

The fourth proportional to 138,497.40, 191,165.62 and 81,928.44 is: 113,084.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,497.40 : 191,165.62 = 81,928.44 : x
  2. Step 2: Convert to fraction form
    138,497.40/191,165.62 = 81,928.44/x
  3. Step 3: Cross multiply
    138,497.40x = 191,165.62 × 81,928.44
  4. Step 4: Simplify right side
    138,497.40x = 15,661,901,028.23
  5. Step 5: Solve for x
    x = 15,661,901,028.23/138,497.40
  6. Step 6: Final answer
    x = 113,084.44

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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.