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Finding the Fourth Proportional to 202,003.26, 303,014 and 75,610.60

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Solution

The fourth proportional to 202,003.26, 303,014 and 75,610.60 is: 113,419.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,003.26 : 303,014 = 75,610.60 : x
  2. Step 2: Convert to fraction form
    202,003.26/303,014 = 75,610.60/x
  3. Step 3: Cross multiply
    202,003.26x = 303,014 × 75,610.60
  4. Step 4: Simplify right side
    202,003.26x = 22,911,070,348.40
  5. Step 5: Solve for x
    x = 22,911,070,348.40/202,003.26
  6. Step 6: Final answer
    x = 113,419.31

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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.