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Finding the Fourth Proportional to 139,474.30, 192,523.89 and 82,885

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Solution

The fourth proportional to 139,474.30, 192,523.89 and 82,885 is: 114,410.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,474.30 : 192,523.89 = 82,885 : x
  2. Step 2: Convert to fraction form
    139,474.30/192,523.89 = 82,885/x
  3. Step 3: Cross multiply
    139,474.30x = 192,523.89 × 82,885
  4. Step 4: Simplify right side
    139,474.30x = 15,957,342,622.65
  5. Step 5: Solve for x
    x = 15,957,342,622.65/139,474.30
  6. Step 6: Final answer
    x = 114,410.63

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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.