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Finding the Fourth Proportional to 233,296.92, 321,949.83 and 136,519.38

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Solution

The fourth proportional to 233,296.92, 321,949.83 and 136,519.38 is: 188,396.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,296.92 : 321,949.83 = 136,519.38 : x
  2. Step 2: Convert to fraction form
    233,296.92/321,949.83 = 136,519.38/x
  3. Step 3: Cross multiply
    233,296.92x = 321,949.83 × 136,519.38
  4. Step 4: Simplify right side
    233,296.92x = 43,952,391,182.71
  5. Step 5: Solve for x
    x = 43,952,391,182.71/233,296.92
  6. Step 6: Final answer
    x = 188,396.79

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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.