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Finding the Fourth Proportional to 204,787.46, 307,319.58 and 71,668.88

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Solution

The fourth proportional to 204,787.46, 307,319.58 and 71,668.88 is: 107,551.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,787.46 : 307,319.58 = 71,668.88 : x
  2. Step 2: Convert to fraction form
    204,787.46/307,319.58 = 71,668.88/x
  3. Step 3: Cross multiply
    204,787.46x = 307,319.58 × 71,668.88
  4. Step 4: Simplify right side
    204,787.46x = 22,025,250,100.67
  5. Step 5: Solve for x
    x = 22,025,250,100.67/204,787.46
  6. Step 6: Final answer
    x = 107,551.75

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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.