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Finding the Fourth Proportional to 150,198.70, 207,271.06 and 82,214.10

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Solution

The fourth proportional to 150,198.70, 207,271.06 and 82,214.10 is: 113,453.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,198.70 : 207,271.06 = 82,214.10 : x
  2. Step 2: Convert to fraction form
    150,198.70/207,271.06 = 82,214.10/x
  3. Step 3: Cross multiply
    150,198.70x = 207,271.06 × 82,214.10
  4. Step 4: Simplify right side
    150,198.70x = 17,040,603,653.95
  5. Step 5: Solve for x
    x = 17,040,603,653.95/150,198.70
  6. Step 6: Final answer
    x = 113,453.74

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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.