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Finding the Fourth Proportional to 81,920.45, 122,723.22 and 50,238.12

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Solution

The fourth proportional to 81,920.45, 122,723.22 and 50,238.12 is: 75,260.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,920.45 : 122,723.22 = 50,238.12 : x
  2. Step 2: Convert to fraction form
    81,920.45/122,723.22 = 50,238.12/x
  3. Step 3: Cross multiply
    81,920.45x = 122,723.22 × 50,238.12
  4. Step 4: Simplify right side
    81,920.45x = 6,165,383,853.15
  5. Step 5: Solve for x
    x = 6,165,383,853.15/81,920.45
  6. Step 6: Final answer
    x = 75,260.62

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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.