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Finding the Fourth Proportional to 149,410.20, 223,467.30 and 133,728.60

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Solution

The fourth proportional to 149,410.20, 223,467.30 and 133,728.60 is: 200,012.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,410.20 : 223,467.30 = 133,728.60 : x
  2. Step 2: Convert to fraction form
    149,410.20/223,467.30 = 133,728.60/x
  3. Step 3: Cross multiply
    149,410.20x = 223,467.30 × 133,728.60
  4. Step 4: Simplify right side
    149,410.20x = 29,883,969,174.78
  5. Step 5: Solve for x
    x = 29,883,969,174.78/149,410.20
  6. Step 6: Final answer
    x = 200,012.91

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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.