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Finding the Fourth Proportional to 111,756.50, 167,744.90 and 82,091.06

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Solution

The fourth proportional to 111,756.50, 167,744.90 and 82,091.06 is: 123,217.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,756.50 : 167,744.90 = 82,091.06 : x
  2. Step 2: Convert to fraction form
    111,756.50/167,744.90 = 82,091.06/x
  3. Step 3: Cross multiply
    111,756.50x = 167,744.90 × 82,091.06
  4. Step 4: Simplify right side
    111,756.50x = 13,770,356,650.59
  5. Step 5: Solve for x
    x = 13,770,356,650.59/111,756.50
  6. Step 6: Final answer
    x = 123,217.50

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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.