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Finding the Fourth Proportional to 206,321.08, 284,773.74 and 125,793.01

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Solution

The fourth proportional to 206,321.08, 284,773.74 and 125,793.01 is: 173,625.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,321.08 : 284,773.74 = 125,793.01 : x
  2. Step 2: Convert to fraction form
    206,321.08/284,773.74 = 125,793.01/x
  3. Step 3: Cross multiply
    206,321.08x = 284,773.74 × 125,793.01
  4. Step 4: Simplify right side
    206,321.08x = 35,822,545,923.56
  5. Step 5: Solve for x
    x = 35,822,545,923.56/206,321.08
  6. Step 6: Final answer
    x = 173,625.23

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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.