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Finding the Fourth Proportional to 200,083.22, 299,847.81 and 100,116.26

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Solution

The fourth proportional to 200,083.22, 299,847.81 and 100,116.26 is: 150,035.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,083.22 : 299,847.81 = 100,116.26 : x
  2. Step 2: Convert to fraction form
    200,083.22/299,847.81 = 100,116.26/x
  3. Step 3: Cross multiply
    200,083.22x = 299,847.81 × 100,116.26
  4. Step 4: Simplify right side
    200,083.22x = 30,019,641,306.39
  5. Step 5: Solve for x
    x = 30,019,641,306.39/200,083.22
  6. Step 6: Final answer
    x = 150,035.78

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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.