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Finding the Fourth Proportional to 142,348.97, 196,442.75 and 78,687.83

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Solution

The fourth proportional to 142,348.97, 196,442.75 and 78,687.83 is: 108,589.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,348.97 : 196,442.75 = 78,687.83 : x
  2. Step 2: Convert to fraction form
    142,348.97/196,442.75 = 78,687.83/x
  3. Step 3: Cross multiply
    142,348.97x = 196,442.75 × 78,687.83
  4. Step 4: Simplify right side
    142,348.97x = 15,457,653,716.73
  5. Step 5: Solve for x
    x = 15,457,653,716.73/142,348.97
  6. Step 6: Final answer
    x = 108,589.85

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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.