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Finding the Fourth Proportional to 202,073.97, 303,142.10 and 68,923.12

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Solution

The fourth proportional to 202,073.97, 303,142.10 and 68,923.12 is: 103,395.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,073.97 : 303,142.10 = 68,923.12 : x
  2. Step 2: Convert to fraction form
    202,073.97/303,142.10 = 68,923.12/x
  3. Step 3: Cross multiply
    202,073.97x = 303,142.10 × 68,923.12
  4. Step 4: Simplify right side
    202,073.97x = 20,893,498,801.27
  5. Step 5: Solve for x
    x = 20,893,498,801.27/202,073.97
  6. Step 6: Final answer
    x = 103,395.30

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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.