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Finding the Fourth Proportional to 204,251.37, 306,385.29 and 71,145.09

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Solution

The fourth proportional to 204,251.37, 306,385.29 and 71,145.09 is: 106,720.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,251.37 : 306,385.29 = 71,145.09 : x
  2. Step 2: Convert to fraction form
    204,251.37/306,385.29 = 71,145.09/x
  3. Step 3: Cross multiply
    204,251.37x = 306,385.29 × 71,145.09
  4. Step 4: Simplify right side
    204,251.37x = 21,797,809,031.73
  5. Step 5: Solve for x
    x = 21,797,809,031.73/204,251.37
  6. Step 6: Final answer
    x = 106,720.50

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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.