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Finding the Fourth Proportional to 150,147.11, 207,203 and 82,164.09

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Solution

The fourth proportional to 150,147.11, 207,203 and 82,164.09 is: 113,386.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,147.11 : 207,203 = 82,164.09 : x
  2. Step 2: Convert to fraction form
    150,147.11/207,203 = 82,164.09/x
  3. Step 3: Cross multiply
    150,147.11x = 207,203 × 82,164.09
  4. Step 4: Simplify right side
    150,147.11x = 17,024,645,940.27
  5. Step 5: Solve for x
    x = 17,024,645,940.27/150,147.11
  6. Step 6: Final answer
    x = 113,386.44

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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.