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Finding the Fourth Proportional to 140,125.44, 193,398.24 and 83,540.48

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Solution

The fourth proportional to 140,125.44, 193,398.24 and 83,540.48 is: 115,300.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,125.44 : 193,398.24 = 83,540.48 : x
  2. Step 2: Convert to fraction form
    140,125.44/193,398.24 = 83,540.48/x
  3. Step 3: Cross multiply
    140,125.44x = 193,398.24 × 83,540.48
  4. Step 4: Simplify right side
    140,125.44x = 16,156,581,800.76
  5. Step 5: Solve for x
    x = 16,156,581,800.76/140,125.44
  6. Step 6: Final answer
    x = 115,300.85

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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.