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Finding the Fourth Proportional to 203,540.40, 305,260.82 and 159,056.82

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Solution

The fourth proportional to 203,540.40, 305,260.82 and 159,056.82 is: 238,546.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,540.40 : 305,260.82 = 159,056.82 : x
  2. Step 2: Convert to fraction form
    203,540.40/305,260.82 = 159,056.82/x
  3. Step 3: Cross multiply
    203,540.40x = 305,260.82 × 159,056.82
  4. Step 4: Simplify right side
    203,540.40x = 48,553,815,299.79
  5. Step 5: Solve for x
    x = 48,553,815,299.79/203,540.40
  6. Step 6: Final answer
    x = 238,546.33

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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.