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Finding the Fourth Proportional to 204,414.80, 306,512.85 and 85,952.30

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Solution

The fourth proportional to 204,414.80, 306,512.85 and 85,952.30 is: 128,882.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,414.80 : 306,512.85 = 85,952.30 : x
  2. Step 2: Convert to fraction form
    204,414.80/306,512.85 = 85,952.30/x
  3. Step 3: Cross multiply
    204,414.80x = 306,512.85 × 85,952.30
  4. Step 4: Simplify right side
    204,414.80x = 26,345,484,437.06
  5. Step 5: Solve for x
    x = 26,345,484,437.06/204,414.80
  6. Step 6: Final answer
    x = 128,882.47

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1.5x scale

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.