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Finding the Fourth Proportional to 82,538.41, 123,878.31 and 81,917.14

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Solution

The fourth proportional to 82,538.41, 123,878.31 and 81,917.14 is: 122,945.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,538.41 : 123,878.31 = 81,917.14 : x
  2. Step 2: Convert to fraction form
    82,538.41/123,878.31 = 81,917.14/x
  3. Step 3: Cross multiply
    82,538.41x = 123,878.31 × 81,917.14
  4. Step 4: Simplify right side
    82,538.41x = 10,147,756,863.23
  5. Step 5: Solve for x
    x = 10,147,756,863.23/82,538.41
  6. Step 6: Final answer
    x = 122,945.87

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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.