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Finding the Fourth Proportional to 110,811.44, 166,217.16 and 27,705.44

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Solution

The fourth proportional to 110,811.44, 166,217.16 and 27,705.44 is: 41,558.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,811.44 : 166,217.16 = 27,705.44 : x
  2. Step 2: Convert to fraction form
    110,811.44/166,217.16 = 27,705.44/x
  3. Step 3: Cross multiply
    110,811.44x = 166,217.16 × 27,705.44
  4. Step 4: Simplify right side
    110,811.44x = 4,605,119,553.35
  5. Step 5: Solve for x
    x = 4,605,119,553.35/110,811.44
  6. Step 6: Final answer
    x = 41,558.16

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1.5x scale

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.