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Finding the Fourth Proportional to 200,622, 276,858.84 and 111,198

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Solution

The fourth proportional to 200,622, 276,858.84 and 111,198 is: 153,453.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,622 : 276,858.84 = 111,198 : x
  2. Step 2: Convert to fraction form
    200,622/276,858.84 = 111,198/x
  3. Step 3: Cross multiply
    200,622x = 276,858.84 × 111,198
  4. Step 4: Simplify right side
    200,622x = 30,786,149,290.32
  5. Step 5: Solve for x
    x = 30,786,149,290.32/200,622
  6. Step 6: Final answer
    x = 153,453.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.