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Finding the Fourth Proportional to 123,260.34, 184,890.11 and 29,766.09

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Solution

The fourth proportional to 123,260.34, 184,890.11 and 29,766.09 is: 44,649.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,260.34 : 184,890.11 = 29,766.09 : x
  2. Step 2: Convert to fraction form
    123,260.34/184,890.11 = 29,766.09/x
  3. Step 3: Cross multiply
    123,260.34x = 184,890.11 × 29,766.09
  4. Step 4: Simplify right side
    123,260.34x = 5,503,455,505.54
  5. Step 5: Solve for x
    x = 5,503,455,505.54/123,260.34
  6. Step 6: Final answer
    x = 44,649.04

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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.