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Finding the Fourth Proportional to 202,003.48, 303,003.34 and 77,344.48

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Solution

The fourth proportional to 202,003.48, 303,003.34 and 77,344.48 is: 116,016.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,003.48 : 303,003.34 = 77,344.48 : x
  2. Step 2: Convert to fraction form
    202,003.48/303,003.34 = 77,344.48/x
  3. Step 3: Cross multiply
    202,003.48x = 303,003.34 × 77,344.48
  4. Step 4: Simplify right side
    202,003.48x = 23,435,635,770.56
  5. Step 5: Solve for x
    x = 23,435,635,770.56/202,003.48
  6. Step 6: Final answer
    x = 116,016.00

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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.