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Finding the Fourth Proportional to 204,082.30, 285,948.50 and 204,082.30

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Solution

The fourth proportional to 204,082.30, 285,948.50 and 204,082.30 is: 285,948.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,082.30 : 285,948.50 = 204,082.30 : x
  2. Step 2: Convert to fraction form
    204,082.30/285,948.50 = 204,082.30/x
  3. Step 3: Cross multiply
    204,082.30x = 285,948.50 × 204,082.30
  4. Step 4: Simplify right side
    204,082.30x = 58,357,027,561.55
  5. Step 5: Solve for x
    x = 58,357,027,561.55/204,082.30
  6. Step 6: Final answer
    x = 285,948.50

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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.