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Finding the Fourth Proportional to 202,201.82, 303,172.97 and 83,954.78

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Solution

The fourth proportional to 202,201.82, 303,172.97 and 83,954.78 is: 125,878.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,201.82 : 303,172.97 = 83,954.78 : x
  2. Step 2: Convert to fraction form
    202,201.82/303,172.97 = 83,954.78/x
  3. Step 3: Cross multiply
    202,201.82x = 303,172.97 × 83,954.78
  4. Step 4: Simplify right side
    202,201.82x = 25,452,819,998.30
  5. Step 5: Solve for x
    x = 25,452,819,998.30/202,201.82
  6. Step 6: Final answer
    x = 125,878.29

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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.