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Finding the Fourth Proportional to 106,161.92, 146,559.84 and 82,234.88

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Solution

The fourth proportional to 106,161.92, 146,559.84 and 82,234.88 is: 113,527.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,161.92 : 146,559.84 = 82,234.88 : x
  2. Step 2: Convert to fraction form
    106,161.92/146,559.84 = 82,234.88/x
  3. Step 3: Cross multiply
    106,161.92x = 146,559.84 × 82,234.88
  4. Step 4: Simplify right side
    106,161.92x = 12,052,330,855.22
  5. Step 5: Solve for x
    x = 12,052,330,855.22/106,161.92
  6. Step 6: Final answer
    x = 113,527.82

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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.