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Finding the Fourth Proportional to 140,402.68, 193,694.04 and 83,781.28

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Solution

The fourth proportional to 140,402.68, 193,694.04 and 83,781.28 is: 115,581.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,402.68 : 193,694.04 = 83,781.28 : x
  2. Step 2: Convert to fraction form
    140,402.68/193,694.04 = 83,781.28/x
  3. Step 3: Cross multiply
    140,402.68x = 193,694.04 × 83,781.28
  4. Step 4: Simplify right side
    140,402.68x = 16,227,934,599.57
  5. Step 5: Solve for x
    x = 16,227,934,599.57/140,402.68
  6. Step 6: Final answer
    x = 115,581.37

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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.