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Finding the Fourth Proportional to 109,662.12, 164,273.90 and 50,416.60

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Solution

The fourth proportional to 109,662.12, 164,273.90 and 50,416.60 is: 75,524.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,662.12 : 164,273.90 = 50,416.60 : x
  2. Step 2: Convert to fraction form
    109,662.12/164,273.90 = 50,416.60/x
  3. Step 3: Cross multiply
    109,662.12x = 164,273.90 × 50,416.60
  4. Step 4: Simplify right side
    109,662.12x = 8,282,131,506.74
  5. Step 5: Solve for x
    x = 8,282,131,506.74/109,662.12
  6. Step 6: Final answer
    x = 75,524.09

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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.