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Finding the Fourth Proportional to 123,229.44, 184,863.60 and 40,104

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Solution

The fourth proportional to 123,229.44, 184,863.60 and 40,104 is: 60,162.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,229.44 : 184,863.60 = 40,104 : x
  2. Step 2: Convert to fraction form
    123,229.44/184,863.60 = 40,104/x
  3. Step 3: Cross multiply
    123,229.44x = 184,863.60 × 40,104
  4. Step 4: Simplify right side
    123,229.44x = 7,413,769,814.40
  5. Step 5: Solve for x
    x = 7,413,769,814.40/123,229.44
  6. Step 6: Final answer
    x = 60,162.33

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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.