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Finding the Fourth Proportional to 206,406.38, 284,843.16 and 114,527.34

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Solution

The fourth proportional to 206,406.38, 284,843.16 and 114,527.34 is: 158,049.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,406.38 : 284,843.16 = 114,527.34 : x
  2. Step 2: Convert to fraction form
    206,406.38/284,843.16 = 114,527.34/x
  3. Step 3: Cross multiply
    206,406.38x = 284,843.16 × 114,527.34
  4. Step 4: Simplify right side
    206,406.38x = 32,622,329,431.99
  5. Step 5: Solve for x
    x = 32,622,329,431.99/206,406.38
  6. Step 6: Final answer
    x = 158,049.04

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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.