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Finding the Fourth Proportional to 206,154.82, 284,632.26 and 128,748.38

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Solution

The fourth proportional to 206,154.82, 284,632.26 and 128,748.38 is: 177,759.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,154.82 : 284,632.26 = 128,748.38 : x
  2. Step 2: Convert to fraction form
    206,154.82/284,632.26 = 128,748.38/x
  3. Step 3: Cross multiply
    206,154.82x = 284,632.26 × 128,748.38
  4. Step 4: Simplify right side
    206,154.82x = 36,645,942,370.74
  5. Step 5: Solve for x
    x = 36,645,942,370.74/206,154.82
  6. Step 6: Final answer
    x = 177,759.33

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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.