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Finding the Fourth Proportional to 109,287.68, 150,841.56 and 71,540

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Solution

The fourth proportional to 109,287.68, 150,841.56 and 71,540 is: 98,741.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,287.68 : 150,841.56 = 71,540 : x
  2. Step 2: Convert to fraction form
    109,287.68/150,841.56 = 71,540/x
  3. Step 3: Cross multiply
    109,287.68x = 150,841.56 × 71,540
  4. Step 4: Simplify right side
    109,287.68x = 10,791,205,202.40
  5. Step 5: Solve for x
    x = 10,791,205,202.40/109,287.68
  6. Step 6: Final answer
    x = 98,741.28

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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.