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Finding the Fourth Proportional to 205,872.44, 284,105.39 and 115,236.80

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Solution

The fourth proportional to 205,872.44, 284,105.39 and 115,236.80 is: 159,027.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,872.44 : 284,105.39 = 115,236.80 : x
  2. Step 2: Convert to fraction form
    205,872.44/284,105.39 = 115,236.80/x
  3. Step 3: Cross multiply
    205,872.44x = 284,105.39 × 115,236.80
  4. Step 4: Simplify right side
    205,872.44x = 32,739,394,009.64
  5. Step 5: Solve for x
    x = 32,739,394,009.64/205,872.44
  6. Step 6: Final answer
    x = 159,027.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.