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Finding the Fourth Proportional to 150,912.41, 208,263.03 and 82,931.27

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Solution

The fourth proportional to 150,912.41, 208,263.03 and 82,931.27 is: 114,447.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,912.41 : 208,263.03 = 82,931.27 : x
  2. Step 2: Convert to fraction form
    150,912.41/208,263.03 = 82,931.27/x
  3. Step 3: Cross multiply
    150,912.41x = 208,263.03 × 82,931.27
  4. Step 4: Simplify right side
    150,912.41x = 17,271,517,571.95
  5. Step 5: Solve for x
    x = 17,271,517,571.95/150,912.41
  6. Step 6: Final answer
    x = 114,447.30

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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.