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Finding the Fourth Proportional to 206,119.80, 284,584.08 and 128,713.38

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Solution

The fourth proportional to 206,119.80, 284,584.08 and 128,713.38 is: 177,711.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,119.80 : 284,584.08 = 128,713.38 : x
  2. Step 2: Convert to fraction form
    206,119.80/284,584.08 = 128,713.38/x
  3. Step 3: Cross multiply
    206,119.80x = 284,584.08 × 128,713.38
  4. Step 4: Simplify right side
    206,119.80x = 36,629,778,830.99
  5. Step 5: Solve for x
    x = 36,629,778,830.99/206,119.80
  6. Step 6: Final answer
    x = 177,711.11

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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.