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Finding the Fourth Proportional to 200,578.91, 300,883.21 and 67,458.65

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Solution

The fourth proportional to 200,578.91, 300,883.21 and 67,458.65 is: 101,192.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,578.91 : 300,883.21 = 67,458.65 : x
  2. Step 2: Convert to fraction form
    200,578.91/300,883.21 = 67,458.65/x
  3. Step 3: Cross multiply
    200,578.91x = 300,883.21 × 67,458.65
  4. Step 4: Simplify right side
    200,578.91x = 20,297,173,481.20
  5. Step 5: Solve for x
    x = 20,297,173,481.20/200,578.91
  6. Step 6: Final answer
    x = 101,192.96

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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.