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Finding the Fourth Proportional to 206,406.88, 284,843.85 and 114,527.84

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Solution

The fourth proportional to 206,406.88, 284,843.85 and 114,527.84 is: 158,049.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,406.88 : 284,843.85 = 114,527.84 : x
  2. Step 2: Convert to fraction form
    206,406.88/284,843.85 = 114,527.84/x
  3. Step 3: Cross multiply
    206,406.88x = 284,843.85 × 114,527.84
  4. Step 4: Simplify right side
    206,406.88x = 32,622,550,877.78
  5. Step 5: Solve for x
    x = 32,622,550,877.78/206,406.88
  6. Step 6: Final answer
    x = 158,049.73

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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.