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Finding the Fourth Proportional to 206,363.49, 284,796.23 and 114,512.82

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Solution

The fourth proportional to 206,363.49, 284,796.23 and 114,512.82 is: 158,035.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,363.49 : 284,796.23 = 114,512.82 : x
  2. Step 2: Convert to fraction form
    206,363.49/284,796.23 = 114,512.82/x
  3. Step 3: Cross multiply
    206,363.49x = 284,796.23 × 114,512.82
  4. Step 4: Simplify right side
    206,363.49x = 32,612,818,850.10
  5. Step 5: Solve for x
    x = 32,612,818,850.10/206,363.49
  6. Step 6: Final answer
    x = 158,035.80

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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.