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Finding the Fourth Proportional to 120,104.96, 180,164.86 and 40,150.12

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Solution

The fourth proportional to 120,104.96, 180,164.86 and 40,150.12 is: 60,227.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,104.96 : 180,164.86 = 40,150.12 : x
  2. Step 2: Convert to fraction form
    120,104.96/180,164.86 = 40,150.12/x
  3. Step 3: Cross multiply
    120,104.96x = 180,164.86 × 40,150.12
  4. Step 4: Simplify right side
    120,104.96x = 7,233,640,198.00
  5. Step 5: Solve for x
    x = 7,233,640,198.00/120,104.96
  6. Step 6: Final answer
    x = 60,227.66

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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.