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Finding the Fourth Proportional to 204,033.70, 285,942.43 and 204,033.70

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Solution

The fourth proportional to 204,033.70, 285,942.43 and 204,033.70 is: 285,942.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,033.70 : 285,942.43 = 204,033.70 : x
  2. Step 2: Convert to fraction form
    204,033.70/285,942.43 = 204,033.70/x
  3. Step 3: Cross multiply
    204,033.70x = 285,942.43 × 204,033.70
  4. Step 4: Simplify right side
    204,033.70x = 58,341,891,979.89
  5. Step 5: Solve for x
    x = 58,341,891,979.89/204,033.70
  6. Step 6: Final answer
    x = 285,942.43

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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.