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Finding the Fourth Proportional to 100,188.30, 150,258.06 and 33,611.16

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Solution

The fourth proportional to 100,188.30, 150,258.06 and 33,611.16 is: 50,408.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,188.30 : 150,258.06 = 33,611.16 : x
  2. Step 2: Convert to fraction form
    100,188.30/150,258.06 = 33,611.16/x
  3. Step 3: Cross multiply
    100,188.30x = 150,258.06 × 33,611.16
  4. Step 4: Simplify right side
    100,188.30x = 5,050,347,695.95
  5. Step 5: Solve for x
    x = 5,050,347,695.95/100,188.30
  6. Step 6: Final answer
    x = 50,408.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.