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Finding the Fourth Proportional to 142,374.68, 196,481.16 and 78,716.58

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Solution

The fourth proportional to 142,374.68, 196,481.16 and 78,716.58 is: 108,631.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,374.68 : 196,481.16 = 78,716.58 : x
  2. Step 2: Convert to fraction form
    142,374.68/196,481.16 = 78,716.58/x
  3. Step 3: Cross multiply
    142,374.68x = 196,481.16 × 78,716.58
  4. Step 4: Simplify right side
    142,374.68x = 15,466,324,949.63
  5. Step 5: Solve for x
    x = 15,466,324,949.63/142,374.68
  6. Step 6: Final answer
    x = 108,631.15

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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.