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Finding the Fourth Proportional to 100,179.68, 150,268.26 and 40,234.70

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Solution

The fourth proportional to 100,179.68, 150,268.26 and 40,234.70 is: 60,351.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,179.68 : 150,268.26 = 40,234.70 : x
  2. Step 2: Convert to fraction form
    100,179.68/150,268.26 = 40,234.70/x
  3. Step 3: Cross multiply
    100,179.68x = 150,268.26 × 40,234.70
  4. Step 4: Simplify right side
    100,179.68x = 6,045,997,609.28
  5. Step 5: Solve for x
    x = 6,045,997,609.28/100,179.68
  6. Step 6: Final answer
    x = 60,351.54

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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.