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Finding the Fourth Proportional to 206,801.73, 309,766.68 and 94,576.44

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Solution

The fourth proportional to 206,801.73, 309,766.68 and 94,576.44 is: 141,665.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,801.73 : 309,766.68 = 94,576.44 : x
  2. Step 2: Convert to fraction form
    206,801.73/309,766.68 = 94,576.44/x
  3. Step 3: Cross multiply
    206,801.73x = 309,766.68 × 94,576.44
  4. Step 4: Simplify right side
    206,801.73x = 29,296,628,372.99
  5. Step 5: Solve for x
    x = 29,296,628,372.99/206,801.73
  6. Step 6: Final answer
    x = 141,665.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.