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Finding the Fourth Proportional to 123,174.20, 184,745.36 and 38,942.84

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Solution

The fourth proportional to 123,174.20, 184,745.36 and 38,942.84 is: 58,409.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,174.20 : 184,745.36 = 38,942.84 : x
  2. Step 2: Convert to fraction form
    123,174.20/184,745.36 = 38,942.84/x
  3. Step 3: Cross multiply
    123,174.20x = 184,745.36 × 38,942.84
  4. Step 4: Simplify right side
    123,174.20x = 7,194,508,995.22
  5. Step 5: Solve for x
    x = 7,194,508,995.22/123,174.20
  6. Step 6: Final answer
    x = 58,409.22

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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.