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Finding the Fourth Proportional to 205,213.20, 283,198.64 and 113,332.20

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Solution

The fourth proportional to 205,213.20, 283,198.64 and 113,332.20 is: 156,400.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,213.20 : 283,198.64 = 113,332.20 : x
  2. Step 2: Convert to fraction form
    205,213.20/283,198.64 = 113,332.20/x
  3. Step 3: Cross multiply
    205,213.20x = 283,198.64 × 113,332.20
  4. Step 4: Simplify right side
    205,213.20x = 32,095,524,908.21
  5. Step 5: Solve for x
    x = 32,095,524,908.21/205,213.20
  6. Step 6: Final answer
    x = 156,400.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.