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Finding the Fourth Proportional to 204,082.80, 285,949.20 and 204,082.80

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Solution

The fourth proportional to 204,082.80, 285,949.20 and 204,082.80 is: 285,949.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,082.80 : 285,949.20 = 204,082.80 : x
  2. Step 2: Convert to fraction form
    204,082.80/285,949.20 = 204,082.80/x
  3. Step 3: Cross multiply
    204,082.80x = 285,949.20 × 204,082.80
  4. Step 4: Simplify right side
    204,082.80x = 58,357,313,393.76
  5. Step 5: Solve for x
    x = 58,357,313,393.76/204,082.80
  6. Step 6: Final answer
    x = 285,949.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.