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Finding the Fourth Proportional to 127,414.20, 191,159.70 and 68,278.20

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Solution

The fourth proportional to 127,414.20, 191,159.70 and 68,278.20 is: 102,437.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,414.20 : 191,159.70 = 68,278.20 : x
  2. Step 2: Convert to fraction form
    127,414.20/191,159.70 = 68,278.20/x
  3. Step 3: Cross multiply
    127,414.20x = 191,159.70 × 68,278.20
  4. Step 4: Simplify right side
    127,414.20x = 13,052,040,228.54
  5. Step 5: Solve for x
    x = 13,052,040,228.54/127,414.20
  6. Step 6: Final answer
    x = 102,437.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.