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Finding the Fourth Proportional to 205,796.70, 308,792.10 and 72,739.62

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Solution

The fourth proportional to 205,796.70, 308,792.10 and 72,739.62 is: 109,143.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,796.70 : 308,792.10 = 72,739.62 : x
  2. Step 2: Convert to fraction form
    205,796.70/308,792.10 = 72,739.62/x
  3. Step 3: Cross multiply
    205,796.70x = 308,792.10 × 72,739.62
  4. Step 4: Simplify right side
    205,796.70x = 22,461,419,876.62
  5. Step 5: Solve for x
    x = 22,461,419,876.62/205,796.70
  6. Step 6: Final answer
    x = 109,143.73

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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.