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Finding the Fourth Proportional to 205,876.94, 284,107.38 and 115,232.88

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Solution

The fourth proportional to 205,876.94, 284,107.38 and 115,232.88 is: 159,019.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,876.94 : 284,107.38 = 115,232.88 : x
  2. Step 2: Convert to fraction form
    205,876.94/284,107.38 = 115,232.88/x
  3. Step 3: Cross multiply
    205,876.94x = 284,107.38 × 115,232.88
  4. Step 4: Simplify right side
    205,876.94x = 32,738,511,626.65
  5. Step 5: Solve for x
    x = 32,738,511,626.65/205,876.94
  6. Step 6: Final answer
    x = 159,019.81

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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.