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Finding the Fourth Proportional to 206,241.92, 284,081.43 and 145,707.44

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Solution

The fourth proportional to 206,241.92, 284,081.43 and 145,707.44 is: 200,700.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,241.92 : 284,081.43 = 145,707.44 : x
  2. Step 2: Convert to fraction form
    206,241.92/284,081.43 = 145,707.44/x
  3. Step 3: Cross multiply
    206,241.92x = 284,081.43 × 145,707.44
  4. Step 4: Simplify right side
    206,241.92x = 41,392,776,496.43
  5. Step 5: Solve for x
    x = 41,392,776,496.43/206,241.92
  6. Step 6: Final answer
    x = 200,700.12

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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.