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Finding the Fourth Proportional to 204,027.83, 285,934.20 and 204,027.83

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Solution

The fourth proportional to 204,027.83, 285,934.20 and 204,027.83 is: 285,934.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,027.83 : 285,934.20 = 204,027.83 : x
  2. Step 2: Convert to fraction form
    204,027.83/285,934.20 = 204,027.83/x
  3. Step 3: Cross multiply
    204,027.83x = 285,934.20 × 204,027.83
  4. Step 4: Simplify right side
    204,027.83x = 58,338,532,919.12
  5. Step 5: Solve for x
    x = 58,338,532,919.12/204,027.83
  6. Step 6: Final answer
    x = 285,934.20

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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.