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Finding the Fourth Proportional to 206,512.43, 309,768.66 and 73,397.95

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Solution

The fourth proportional to 206,512.43, 309,768.66 and 73,397.95 is: 110,096.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,512.43 : 309,768.66 = 73,397.95 : x
  2. Step 2: Convert to fraction form
    206,512.43/309,768.66 = 73,397.95/x
  3. Step 3: Cross multiply
    206,512.43x = 309,768.66 × 73,397.95
  4. Step 4: Simplify right side
    206,512.43x = 22,736,383,843.83
  5. Step 5: Solve for x
    x = 22,736,383,843.83/206,512.43
  6. Step 6: Final answer
    x = 110,096.93

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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.