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Finding the Fourth Proportional to 138,249.34, 207,432.33 and 82,196.53

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Solution

The fourth proportional to 138,249.34, 207,432.33 and 82,196.53 is: 123,329.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,249.34 : 207,432.33 = 82,196.53 : x
  2. Step 2: Convert to fraction form
    138,249.34/207,432.33 = 82,196.53/x
  3. Step 3: Cross multiply
    138,249.34x = 207,432.33 × 82,196.53
  4. Step 4: Simplify right side
    138,249.34x = 17,050,217,735.81
  5. Step 5: Solve for x
    x = 17,050,217,735.81/138,249.34
  6. Step 6: Final answer
    x = 123,329.47

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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.