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Finding the Fourth Proportional to 205,044.30, 307,474.17 and 86,654.70

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Solution

The fourth proportional to 205,044.30, 307,474.17 and 86,654.70 is: 129,943.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,044.30 : 307,474.17 = 86,654.70 : x
  2. Step 2: Convert to fraction form
    205,044.30/307,474.17 = 86,654.70/x
  3. Step 3: Cross multiply
    205,044.30x = 307,474.17 × 86,654.70
  4. Step 4: Simplify right side
    205,044.30x = 26,644,081,959.10
  5. Step 5: Solve for x
    x = 26,644,081,959.10/205,044.30
  6. Step 6: Final answer
    x = 129,943.05

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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.