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Finding the Fourth Proportional to 135,830.44, 203,745.74 and 47,083.96

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Solution

The fourth proportional to 135,830.44, 203,745.74 and 47,083.96 is: 70,625.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,830.44 : 203,745.74 = 47,083.96 : x
  2. Step 2: Convert to fraction form
    135,830.44/203,745.74 = 47,083.96/x
  3. Step 3: Cross multiply
    135,830.44x = 203,745.74 × 47,083.96
  4. Step 4: Simplify right side
    135,830.44x = 9,593,156,272.33
  5. Step 5: Solve for x
    x = 9,593,156,272.33/135,830.44
  6. Step 6: Final answer
    x = 70,625.97

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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.