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Finding the Fourth Proportional to 150,338.40, 207,464.32 and 82,356.72

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Solution

The fourth proportional to 150,338.40, 207,464.32 and 82,356.72 is: 113,650.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,338.40 : 207,464.32 = 82,356.72 : x
  2. Step 2: Convert to fraction form
    150,338.40/207,464.32 = 82,356.72/x
  3. Step 3: Cross multiply
    150,338.40x = 207,464.32 × 82,356.72
  4. Step 4: Simplify right side
    150,338.40x = 17,086,080,912.23
  5. Step 5: Solve for x
    x = 17,086,080,912.23/150,338.40
  6. Step 6: Final answer
    x = 113,650.81

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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.