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Finding the Fourth Proportional to 100,613.50, 150,924.83 and 71,162.80

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Solution

The fourth proportional to 100,613.50, 150,924.83 and 71,162.80 is: 106,747.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,613.50 : 150,924.83 = 71,162.80 : x
  2. Step 2: Convert to fraction form
    100,613.50/150,924.83 = 71,162.80/x
  3. Step 3: Cross multiply
    100,613.50x = 150,924.83 × 71,162.80
  4. Step 4: Simplify right side
    100,613.50x = 10,740,232,759.20
  5. Step 5: Solve for x
    x = 10,740,232,759.20/100,613.50
  6. Step 6: Final answer
    x = 106,747.43

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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.