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Finding the Fourth Proportional to 100,081.52, 138,035.56 and 69,857.20

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Solution

The fourth proportional to 100,081.52, 138,035.56 and 69,857.20 is: 96,349.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,081.52 : 138,035.56 = 69,857.20 : x
  2. Step 2: Convert to fraction form
    100,081.52/138,035.56 = 69,857.20/x
  3. Step 3: Cross multiply
    100,081.52x = 138,035.56 × 69,857.20
  4. Step 4: Simplify right side
    100,081.52x = 9,642,777,722.03
  5. Step 5: Solve for x
    x = 9,642,777,722.03/100,081.52
  6. Step 6: Final answer
    x = 96,349.23

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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.