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Finding the Fourth Proportional to 202,209.70, 303,436.05 and 83,868.70

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Solution

The fourth proportional to 202,209.70, 303,436.05 and 83,868.70 is: 125,853.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,209.70 : 303,436.05 = 83,868.70 : x
  2. Step 2: Convert to fraction form
    202,209.70/303,436.05 = 83,868.70/x
  3. Step 3: Cross multiply
    202,209.70x = 303,436.05 × 83,868.70
  4. Step 4: Simplify right side
    202,209.70x = 25,448,787,046.64
  5. Step 5: Solve for x
    x = 25,448,787,046.64/202,209.70
  6. Step 6: Final answer
    x = 125,853.44

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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.