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Finding the Fourth Proportional to 122,766.75, 184,149.60 and 34,020

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Solution

The fourth proportional to 122,766.75, 184,149.60 and 34,020 is: 51,029.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,766.75 : 184,149.60 = 34,020 : x
  2. Step 2: Convert to fraction form
    122,766.75/184,149.60 = 34,020/x
  3. Step 3: Cross multiply
    122,766.75x = 184,149.60 × 34,020
  4. Step 4: Simplify right side
    122,766.75x = 6,264,769,392
  5. Step 5: Solve for x
    x = 6,264,769,392/122,766.75
  6. Step 6: Final answer
    x = 51,029.85

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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.