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Finding the Fourth Proportional to 202,332.40, 303,255.60 and 83,942.80

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Solution

The fourth proportional to 202,332.40, 303,255.60 and 83,942.80 is: 125,813.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,332.40 : 303,255.60 = 83,942.80 : x
  2. Step 2: Convert to fraction form
    202,332.40/303,255.60 = 83,942.80/x
  3. Step 3: Cross multiply
    202,332.40x = 303,255.60 × 83,942.80
  4. Step 4: Simplify right side
    202,332.40x = 25,456,124,179.68
  5. Step 5: Solve for x
    x = 25,456,124,179.68/202,332.40
  6. Step 6: Final answer
    x = 125,813.39

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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.