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Finding the Fourth Proportional to 206,525.30, 285,003.09 and 115,879.41

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Solution

The fourth proportional to 206,525.30, 285,003.09 and 115,879.41 is: 159,912.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,525.30 : 285,003.09 = 115,879.41 : x
  2. Step 2: Convert to fraction form
    206,525.30/285,003.09 = 115,879.41/x
  3. Step 3: Cross multiply
    206,525.30x = 285,003.09 × 115,879.41
  4. Step 4: Simplify right side
    206,525.30x = 33,025,989,917.38
  5. Step 5: Solve for x
    x = 33,025,989,917.38/206,525.30
  6. Step 6: Final answer
    x = 159,912.57

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Why These Related Problems?

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