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Finding the Fourth Proportional to 203,796.40, 305,694.60 and 132,937.60

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Solution

The fourth proportional to 203,796.40, 305,694.60 and 132,937.60 is: 199,406.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,796.40 : 305,694.60 = 132,937.60 : x
  2. Step 2: Convert to fraction form
    203,796.40/305,694.60 = 132,937.60/x
  3. Step 3: Cross multiply
    203,796.40x = 305,694.60 × 132,937.60
  4. Step 4: Simplify right side
    203,796.40x = 40,638,306,456.96
  5. Step 5: Solve for x
    x = 40,638,306,456.96/203,796.40
  6. Step 6: Final answer
    x = 199,406.40

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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.