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Finding the Fourth Proportional to 100,104.68, 138,140.31 and 54,781.52

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Solution

The fourth proportional to 100,104.68, 138,140.31 and 54,781.52 is: 75,596.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,104.68 : 138,140.31 = 54,781.52 : x
  2. Step 2: Convert to fraction form
    100,104.68/138,140.31 = 54,781.52/x
  3. Step 3: Cross multiply
    100,104.68x = 138,140.31 × 54,781.52
  4. Step 4: Simplify right side
    100,104.68x = 7,567,536,155.07
  5. Step 5: Solve for x
    x = 7,567,536,155.07/100,104.68
  6. Step 6: Final answer
    x = 75,596.23

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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.