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Finding the Fourth Proportional to 123,193, 184,789.34 and 29,698.74

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Solution

The fourth proportional to 123,193, 184,789.34 and 29,698.74 is: 44,548.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,193 : 184,789.34 = 29,698.74 : x
  2. Step 2: Convert to fraction form
    123,193/184,789.34 = 29,698.74/x
  3. Step 3: Cross multiply
    123,193x = 184,789.34 × 29,698.74
  4. Step 4: Simplify right side
    123,193x = 5,488,010,563.43
  5. Step 5: Solve for x
    x = 5,488,010,563.43/123,193
  6. Step 6: Final answer
    x = 44,548.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.