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Finding the Fourth Proportional to 206,529.70, 309,721.65 and 73,414.30

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Solution

The fourth proportional to 206,529.70, 309,721.65 and 73,414.30 is: 110,095.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,529.70 : 309,721.65 = 73,414.30 : x
  2. Step 2: Convert to fraction form
    206,529.70/309,721.65 = 73,414.30/x
  3. Step 3: Cross multiply
    206,529.70x = 309,721.65 × 73,414.30
  4. Step 4: Simplify right side
    206,529.70x = 22,737,998,129.60
  5. Step 5: Solve for x
    x = 22,737,998,129.60/206,529.70
  6. Step 6: Final answer
    x = 110,095.54

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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.