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Finding the Fourth Proportional to 123,101.22, 184,676.67 and 38,874.54

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Solution

The fourth proportional to 123,101.22, 184,676.67 and 38,874.54 is: 58,319.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,101.22 : 184,676.67 = 38,874.54 : x
  2. Step 2: Convert to fraction form
    123,101.22/184,676.67 = 38,874.54/x
  3. Step 3: Cross multiply
    123,101.22x = 184,676.67 × 38,874.54
  4. Step 4: Simplify right side
    123,101.22x = 7,179,220,594.98
  5. Step 5: Solve for x
    x = 7,179,220,594.98/123,101.22
  6. Step 6: Final answer
    x = 58,319.65

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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.