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Finding the Fourth Proportional to 206,150.40, 284,486.40 and 116,726.40

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Solution

The fourth proportional to 206,150.40, 284,486.40 and 116,726.40 is: 161,081.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,150.40 : 284,486.40 = 116,726.40 : x
  2. Step 2: Convert to fraction form
    206,150.40/284,486.40 = 116,726.40/x
  3. Step 3: Cross multiply
    206,150.40x = 284,486.40 × 116,726.40
  4. Step 4: Simplify right side
    206,150.40x = 33,207,073,320.96
  5. Step 5: Solve for x
    x = 33,207,073,320.96/206,150.40
  6. Step 6: Final answer
    x = 161,081.78

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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.