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Finding the Fourth Proportional to 204,397.56, 306,597.71 and 71,277.30

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Solution

The fourth proportional to 204,397.56, 306,597.71 and 71,277.30 is: 106,916.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,397.56 : 306,597.71 = 71,277.30 : x
  2. Step 2: Convert to fraction form
    204,397.56/306,597.71 = 71,277.30/x
  3. Step 3: Cross multiply
    204,397.56x = 306,597.71 × 71,277.30
  4. Step 4: Simplify right side
    204,397.56x = 21,853,456,732.24
  5. Step 5: Solve for x
    x = 21,853,456,732.24/204,397.56
  6. Step 6: Final answer
    x = 106,916.43

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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.