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Finding the Fourth Proportional to 233,769.80, 350,665.14 and 71,651.90

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Solution

The fourth proportional to 233,769.80, 350,665.14 and 71,651.90 is: 107,481.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,769.80 : 350,665.14 = 71,651.90 : x
  2. Step 2: Convert to fraction form
    233,769.80/350,665.14 = 71,651.90/x
  3. Step 3: Cross multiply
    233,769.80x = 350,665.14 × 71,651.90
  4. Step 4: Simplify right side
    233,769.80x = 25,125,821,791.44
  5. Step 5: Solve for x
    x = 25,125,821,791.44/233,769.80
  6. Step 6: Final answer
    x = 107,481.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.