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Finding the Fourth Proportional to 202,496.88, 303,745.68 and 69,378.24

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Solution

The fourth proportional to 202,496.88, 303,745.68 and 69,378.24 is: 104,067.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,496.88 : 303,745.68 = 69,378.24 : x
  2. Step 2: Convert to fraction form
    202,496.88/303,745.68 = 69,378.24/x
  3. Step 3: Cross multiply
    202,496.88x = 303,745.68 × 69,378.24
  4. Step 4: Simplify right side
    202,496.88x = 21,073,340,686.00
  5. Step 5: Solve for x
    x = 21,073,340,686.00/202,496.88
  6. Step 6: Final answer
    x = 104,067.48

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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.