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Finding the Fourth Proportional to 206,284, 284,671.92 and 116,860

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Solution

The fourth proportional to 206,284, 284,671.92 and 116,860 is: 161,266.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,284 : 284,671.92 = 116,860 : x
  2. Step 2: Convert to fraction form
    206,284/284,671.92 = 116,860/x
  3. Step 3: Cross multiply
    206,284x = 284,671.92 × 116,860
  4. Step 4: Simplify right side
    206,284x = 33,266,760,571.20
  5. Step 5: Solve for x
    x = 33,266,760,571.20/206,284
  6. Step 6: Final answer
    x = 161,266.80

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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.