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Finding the Fourth Proportional to 137,760.33, 190,086.69 and 81,164.01

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Solution

The fourth proportional to 137,760.33, 190,086.69 and 81,164.01 is: 111,993.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,760.33 : 190,086.69 = 81,164.01 : x
  2. Step 2: Convert to fraction form
    137,760.33/190,086.69 = 81,164.01/x
  3. Step 3: Cross multiply
    137,760.33x = 190,086.69 × 81,164.01
  4. Step 4: Simplify right side
    137,760.33x = 15,428,198,008.03
  5. Step 5: Solve for x
    x = 15,428,198,008.03/137,760.33
  6. Step 6: Final answer
    x = 111,993.04

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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.