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Finding the Fourth Proportional to 142,638.68, 196,854.83 and 85,278.20

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Solution

The fourth proportional to 142,638.68, 196,854.83 and 85,278.20 is: 117,691.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,638.68 : 196,854.83 = 85,278.20 : x
  2. Step 2: Convert to fraction form
    142,638.68/196,854.83 = 85,278.20/x
  3. Step 3: Cross multiply
    142,638.68x = 196,854.83 × 85,278.20
  4. Step 4: Simplify right side
    142,638.68x = 16,787,424,153.04
  5. Step 5: Solve for x
    x = 16,787,424,153.04/142,638.68
  6. Step 6: Final answer
    x = 117,691.95

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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.