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Finding the Fourth Proportional to 252,057.87, 347,765.22 and 150,001.50

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Solution

The fourth proportional to 252,057.87, 347,765.22 and 150,001.50 is: 206,957.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,057.87 : 347,765.22 = 150,001.50 : x
  2. Step 2: Convert to fraction form
    252,057.87/347,765.22 = 150,001.50/x
  3. Step 3: Cross multiply
    252,057.87x = 347,765.22 × 150,001.50
  4. Step 4: Simplify right side
    252,057.87x = 52,165,304,647.83
  5. Step 5: Solve for x
    x = 52,165,304,647.83/252,057.87
  6. Step 6: Final answer
    x = 206,957.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.