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Finding the Fourth Proportional to 207,229.87, 285,965.49 and 116,589.66

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Solution

The fourth proportional to 207,229.87, 285,965.49 and 116,589.66 is: 160,887.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,229.87 : 285,965.49 = 116,589.66 : x
  2. Step 2: Convert to fraction form
    207,229.87/285,965.49 = 116,589.66/x
  3. Step 3: Cross multiply
    207,229.87x = 285,965.49 × 116,589.66
  4. Step 4: Simplify right side
    207,229.87x = 33,340,619,250.83
  5. Step 5: Solve for x
    x = 33,340,619,250.83/207,229.87
  6. Step 6: Final answer
    x = 160,887.13

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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.