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Finding the Fourth Proportional to 252,906.82, 379,033.18 and 189,227.32

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Solution

The fourth proportional to 252,906.82, 379,033.18 and 189,227.32 is: 283,596.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,906.82 : 379,033.18 = 189,227.32 : x
  2. Step 2: Convert to fraction form
    252,906.82/379,033.18 = 189,227.32/x
  3. Step 3: Cross multiply
    252,906.82x = 379,033.18 × 189,227.32
  4. Step 4: Simplify right side
    252,906.82x = 71,723,432,842.48
  5. Step 5: Solve for x
    x = 71,723,432,842.48/252,906.82
  6. Step 6: Final answer
    x = 283,596.28

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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.