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Finding the Fourth Proportional to 199,928, 275,900.61 and 109,284.33

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Solution

The fourth proportional to 199,928, 275,900.61 and 109,284.33 is: 150,812.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,928 : 275,900.61 = 109,284.33 : x
  2. Step 2: Convert to fraction form
    199,928/275,900.61 = 109,284.33/x
  3. Step 3: Cross multiply
    199,928x = 275,900.61 × 109,284.33
  4. Step 4: Simplify right side
    199,928x = 30,151,613,310.44
  5. Step 5: Solve for x
    x = 30,151,613,310.44/199,928
  6. Step 6: Final answer
    x = 150,812.36

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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.