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Finding the Fourth Proportional to 204,022.20, 285,926.33 and 204,022.20

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Solution

The fourth proportional to 204,022.20, 285,926.33 and 204,022.20 is: 285,926.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,022.20 : 285,926.33 = 204,022.20 : x
  2. Step 2: Convert to fraction form
    204,022.20/285,926.33 = 204,022.20/x
  3. Step 3: Cross multiply
    204,022.20x = 285,926.33 × 204,022.20
  4. Step 4: Simplify right side
    204,022.20x = 58,335,317,864.42
  5. Step 5: Solve for x
    x = 58,335,317,864.42/204,022.20
  6. Step 6: Final answer
    x = 285,926.33

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1.5x scale

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.