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Finding the Fourth Proportional to 245,891.80, 368,319.30 and 204,419.80

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Solution

The fourth proportional to 245,891.80, 368,319.30 and 204,419.80 is: 306,198.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,891.80 : 368,319.30 = 204,419.80 : x
  2. Step 2: Convert to fraction form
    245,891.80/368,319.30 = 204,419.80/x
  3. Step 3: Cross multiply
    245,891.80x = 368,319.30 × 204,419.80
  4. Step 4: Simplify right side
    245,891.80x = 75,291,757,642.14
  5. Step 5: Solve for x
    x = 75,291,757,642.14/245,891.80
  6. Step 6: Final answer
    x = 306,198.73

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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.