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Finding the Fourth Proportional to 200,919.09, 301,168.17 and 67,753.47

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Solution

The fourth proportional to 200,919.09, 301,168.17 and 67,753.47 is: 101,559.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,919.09 : 301,168.17 = 67,753.47 : x
  2. Step 2: Convert to fraction form
    200,919.09/301,168.17 = 67,753.47/x
  3. Step 3: Cross multiply
    200,919.09x = 301,168.17 × 67,753.47
  4. Step 4: Simplify right side
    200,919.09x = 20,405,188,571.05
  5. Step 5: Solve for x
    x = 20,405,188,571.05/200,919.09
  6. Step 6: Final answer
    x = 101,559.23

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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.