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Finding the Fourth Proportional to 137,959.20, 190,380.78 and 81,388.80

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Solution

The fourth proportional to 137,959.20, 190,380.78 and 81,388.80 is: 112,314.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,959.20 : 190,380.78 = 81,388.80 : x
  2. Step 2: Convert to fraction form
    137,959.20/190,380.78 = 81,388.80/x
  3. Step 3: Cross multiply
    137,959.20x = 190,380.78 × 81,388.80
  4. Step 4: Simplify right side
    137,959.20x = 15,494,863,227.26
  5. Step 5: Solve for x
    x = 15,494,863,227.26/137,959.20
  6. Step 6: Final answer
    x = 112,314.82

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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.