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Finding the Fourth Proportional to 140,081.68, 193,286.28 and 83,498.32

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Solution

The fourth proportional to 140,081.68, 193,286.28 and 83,498.32 is: 115,211.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,081.68 : 193,286.28 = 83,498.32 : x
  2. Step 2: Convert to fraction form
    140,081.68/193,286.28 = 83,498.32/x
  3. Step 3: Cross multiply
    140,081.68x = 193,286.28 × 83,498.32
  4. Step 4: Simplify right side
    140,081.68x = 16,139,079,659.05
  5. Step 5: Solve for x
    x = 16,139,079,659.05/140,081.68
  6. Step 6: Final answer
    x = 115,211.92

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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.