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Finding the Fourth Proportional to 202,092.30, 303,247.80 and 83,775.60

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Solution

The fourth proportional to 202,092.30, 303,247.80 and 83,775.60 is: 125,708.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,092.30 : 303,247.80 = 83,775.60 : x
  2. Step 2: Convert to fraction form
    202,092.30/303,247.80 = 83,775.60/x
  3. Step 3: Cross multiply
    202,092.30x = 303,247.80 × 83,775.60
  4. Step 4: Simplify right side
    202,092.30x = 25,404,766,393.68
  5. Step 5: Solve for x
    x = 25,404,766,393.68/202,092.30
  6. Step 6: Final answer
    x = 125,708.73

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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.