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Finding the Fourth Proportional to 206,175.44, 284,468.22 and 118,939.43

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Solution

The fourth proportional to 206,175.44, 284,468.22 and 118,939.43 is: 164,105.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,175.44 : 284,468.22 = 118,939.43 : x
  2. Step 2: Convert to fraction form
    206,175.44/284,468.22 = 118,939.43/x
  3. Step 3: Cross multiply
    206,175.44x = 284,468.22 × 118,939.43
  4. Step 4: Simplify right side
    206,175.44x = 33,834,486,149.14
  5. Step 5: Solve for x
    x = 33,834,486,149.14/206,175.44
  6. Step 6: Final answer
    x = 164,105.32

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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.