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Finding the Fourth Proportional to 142,682.39, 196,903.76 and 82,251.93

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Solution

The fourth proportional to 142,682.39, 196,903.76 and 82,251.93 is: 113,508.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,682.39 : 196,903.76 = 82,251.93 : x
  2. Step 2: Convert to fraction form
    142,682.39/196,903.76 = 82,251.93/x
  3. Step 3: Cross multiply
    142,682.39x = 196,903.76 × 82,251.93
  4. Step 4: Simplify right side
    142,682.39x = 16,195,713,873.00
  5. Step 5: Solve for x
    x = 16,195,713,873.00/142,682.39
  6. Step 6: Final answer
    x = 113,508.85

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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.