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Finding the Fourth Proportional to 142,759.68, 197,016.33 and 81,523.95

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Solution

The fourth proportional to 142,759.68, 197,016.33 and 81,523.95 is: 112,507.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,759.68 : 197,016.33 = 81,523.95 : x
  2. Step 2: Convert to fraction form
    142,759.68/197,016.33 = 81,523.95/x
  3. Step 3: Cross multiply
    142,759.68x = 197,016.33 × 81,523.95
  4. Step 4: Simplify right side
    142,759.68x = 16,061,549,436.10
  5. Step 5: Solve for x
    x = 16,061,549,436.10/142,759.68
  6. Step 6: Final answer
    x = 112,507.60

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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.