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Finding the Fourth Proportional to 206,270.21, 284,647.77 and 114,388.97

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Solution

The fourth proportional to 206,270.21, 284,647.77 and 114,388.97 is: 157,853.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,270.21 : 284,647.77 = 114,388.97 : x
  2. Step 2: Convert to fraction form
    206,270.21/284,647.77 = 114,388.97/x
  3. Step 3: Cross multiply
    206,270.21x = 284,647.77 × 114,388.97
  4. Step 4: Simplify right side
    206,270.21x = 32,560,563,799.86
  5. Step 5: Solve for x
    x = 32,560,563,799.86/206,270.21
  6. Step 6: Final answer
    x = 157,853.94

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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.