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Finding the Fourth Proportional to 204,265.80, 281,940.75 and 143,854.38

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Solution

The fourth proportional to 204,265.80, 281,940.75 and 143,854.38 is: 198,557.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,265.80 : 281,940.75 = 143,854.38 : x
  2. Step 2: Convert to fraction form
    204,265.80/281,940.75 = 143,854.38/x
  3. Step 3: Cross multiply
    204,265.80x = 281,940.75 × 143,854.38
  4. Step 4: Simplify right side
    204,265.80x = 40,558,411,787.99
  5. Step 5: Solve for x
    x = 40,558,411,787.99/204,265.80
  6. Step 6: Final answer
    x = 198,557.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.