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Finding the Fourth Proportional to 206,179.38, 284,527.35 and 115,536.06

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Solution

The fourth proportional to 206,179.38, 284,527.35 and 115,536.06 is: 159,439.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,179.38 : 284,527.35 = 115,536.06 : x
  2. Step 2: Convert to fraction form
    206,179.38/284,527.35 = 115,536.06/x
  3. Step 3: Cross multiply
    206,179.38x = 284,527.35 × 115,536.06
  4. Step 4: Simplify right side
    206,179.38x = 32,873,168,981.24
  5. Step 5: Solve for x
    x = 32,873,168,981.24/206,179.38
  6. Step 6: Final answer
    x = 159,439.65

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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.