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Finding the Fourth Proportional to 123,021.60, 184,416.30 and 66,778.80

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Solution

The fourth proportional to 123,021.60, 184,416.30 and 66,778.80 is: 100,105.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,021.60 : 184,416.30 = 66,778.80 : x
  2. Step 2: Convert to fraction form
    123,021.60/184,416.30 = 66,778.80/x
  3. Step 3: Cross multiply
    123,021.60x = 184,416.30 × 66,778.80
  4. Step 4: Simplify right side
    123,021.60x = 12,315,099,214.44
  5. Step 5: Solve for x
    x = 12,315,099,214.44/123,021.60
  6. Step 6: Final answer
    x = 100,105.18

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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.