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Finding the Fourth Proportional to 211,976.80, 317,965.20 and 205,832.80

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Solution

The fourth proportional to 211,976.80, 317,965.20 and 205,832.80 is: 308,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,976.80 : 317,965.20 = 205,832.80 : x
  2. Step 2: Convert to fraction form
    211,976.80/317,965.20 = 205,832.80/x
  3. Step 3: Cross multiply
    211,976.80x = 317,965.20 × 205,832.80
  4. Step 4: Simplify right side
    211,976.80x = 65,447,667,418.56
  5. Step 5: Solve for x
    x = 65,447,667,418.56/211,976.80
  6. Step 6: Final answer
    x = 308,749.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.