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Finding the Fourth Proportional to 139,676, 192,719.26 and 82,317.61

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Solution

The fourth proportional to 139,676, 192,719.26 and 82,317.61 is: 113,578.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,676 : 192,719.26 = 82,317.61 : x
  2. Step 2: Convert to fraction form
    139,676/192,719.26 = 82,317.61/x
  3. Step 3: Cross multiply
    139,676x = 192,719.26 × 82,317.61
  4. Step 4: Simplify right side
    139,676x = 15,864,188,884.17
  5. Step 5: Solve for x
    x = 15,864,188,884.17/139,676
  6. Step 6: Final answer
    x = 113,578.49

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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.