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Finding the Fourth Proportional to 202,003.35, 303,003.15 and 77,344.35

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Solution

The fourth proportional to 202,003.35, 303,003.15 and 77,344.35 is: 116,015.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,003.35 : 303,003.15 = 77,344.35 : x
  2. Step 2: Convert to fraction form
    202,003.35/303,003.15 = 77,344.35/x
  3. Step 3: Cross multiply
    202,003.35x = 303,003.15 × 77,344.35
  4. Step 4: Simplify right side
    202,003.35x = 23,435,581,684.70
  5. Step 5: Solve for x
    x = 23,435,581,684.70/202,003.35
  6. Step 6: Final answer
    x = 116,015.81

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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.