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Finding the Fourth Proportional to 269,795.96, 404,693.70 and 80,255.56

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Solution

The fourth proportional to 269,795.96, 404,693.70 and 80,255.56 is: 120,383.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,795.96 : 404,693.70 = 80,255.56 : x
  2. Step 2: Convert to fraction form
    269,795.96/404,693.70 = 80,255.56/x
  3. Step 3: Cross multiply
    269,795.96x = 404,693.70 × 80,255.56
  4. Step 4: Simplify right side
    269,795.96x = 32,478,919,521.97
  5. Step 5: Solve for x
    x = 32,478,919,521.97/269,795.96
  6. Step 6: Final answer
    x = 120,383.27

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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.