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Finding the Fourth Proportional to 82,661.20, 123,945.12 and 75,608.14

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Solution

The fourth proportional to 82,661.20, 123,945.12 and 75,608.14 is: 113,369.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,661.20 : 123,945.12 = 75,608.14 : x
  2. Step 2: Convert to fraction form
    82,661.20/123,945.12 = 75,608.14/x
  3. Step 3: Cross multiply
    82,661.20x = 123,945.12 × 75,608.14
  4. Step 4: Simplify right side
    82,661.20x = 9,371,259,985.28
  5. Step 5: Solve for x
    x = 9,371,259,985.28/82,661.20
  6. Step 6: Final answer
    x = 113,369.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.