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Finding the Fourth Proportional to 203,493.60, 305,240.40 and 180,943.20

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Solution

The fourth proportional to 203,493.60, 305,240.40 and 180,943.20 is: 271,414.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,493.60 : 305,240.40 = 180,943.20 : x
  2. Step 2: Convert to fraction form
    203,493.60/305,240.40 = 180,943.20/x
  3. Step 3: Cross multiply
    203,493.60x = 305,240.40 × 180,943.20
  4. Step 4: Simplify right side
    203,493.60x = 55,231,174,745.28
  5. Step 5: Solve for x
    x = 55,231,174,745.28/203,493.60
  6. Step 6: Final answer
    x = 271,414.80

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Why These Related Problems?

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