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Finding the Fourth Proportional to 150,146.62, 207,199.12 and 82,163.32

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Solution

The fourth proportional to 150,146.62, 207,199.12 and 82,163.32 is: 113,383.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,146.62 : 207,199.12 = 82,163.32 : x
  2. Step 2: Convert to fraction form
    150,146.62/207,199.12 = 82,163.32/x
  3. Step 3: Cross multiply
    150,146.62x = 207,199.12 × 82,163.32
  4. Step 4: Simplify right side
    150,146.62x = 17,024,167,600.28
  5. Step 5: Solve for x
    x = 17,024,167,600.28/150,146.62
  6. Step 6: Final answer
    x = 113,383.62

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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.