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Finding the Fourth Proportional to 200,197.12, 276,021.12 and 128,450.56

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Solution

The fourth proportional to 200,197.12, 276,021.12 and 128,450.56 is: 177,100.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,197.12 : 276,021.12 = 128,450.56 : x
  2. Step 2: Convert to fraction form
    200,197.12/276,021.12 = 128,450.56/x
  3. Step 3: Cross multiply
    200,197.12x = 276,021.12 × 128,450.56
  4. Step 4: Simplify right side
    200,197.12x = 35,455,067,435.83
  5. Step 5: Solve for x
    x = 35,455,067,435.83/200,197.12
  6. Step 6: Final answer
    x = 177,100.79

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