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Finding the Fourth Proportional to 206,216.91, 284,582.70 and 115,593.03

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Solution

The fourth proportional to 206,216.91, 284,582.70 and 115,593.03 is: 159,520.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,216.91 : 284,582.70 = 115,593.03 : x
  2. Step 2: Convert to fraction form
    206,216.91/284,582.70 = 115,593.03/x
  3. Step 3: Cross multiply
    206,216.91x = 284,582.70 × 115,593.03
  4. Step 4: Simplify right side
    206,216.91x = 32,895,776,578.58
  5. Step 5: Solve for x
    x = 32,895,776,578.58/206,216.91
  6. Step 6: Final answer
    x = 159,520.27

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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.