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Finding the Fourth Proportional to 202,143.75, 303,086.00 and 83,896.71

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Solution

The fourth proportional to 202,143.75, 303,086.00 and 83,896.71 is: 125,791.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,143.75 : 303,086.00 = 83,896.71 : x
  2. Step 2: Convert to fraction form
    202,143.75/303,086.00 = 83,896.71/x
  3. Step 3: Cross multiply
    202,143.75x = 303,086.00 × 83,896.71
  4. Step 4: Simplify right side
    202,143.75x = 25,427,917,827.58
  5. Step 5: Solve for x
    x = 25,427,917,827.58/202,143.75
  6. Step 6: Final answer
    x = 125,791.26

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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.