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Finding the Fourth Proportional to 207,765.90, 311,794.65 and 133,067.70

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Solution

The fourth proportional to 207,765.90, 311,794.65 and 133,067.70 is: 199,694.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,765.90 : 311,794.65 = 133,067.70 : x
  2. Step 2: Convert to fraction form
    207,765.90/311,794.65 = 133,067.70/x
  3. Step 3: Cross multiply
    207,765.90x = 311,794.65 × 133,067.70
  4. Step 4: Simplify right side
    207,765.90x = 41,489,796,947.81
  5. Step 5: Solve for x
    x = 41,489,796,947.81/207,765.90
  6. Step 6: Final answer
    x = 199,694.93

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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.