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Finding the Fourth Proportional to 123,211.20, 184,816.80 and 110,745.30

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Solution

The fourth proportional to 123,211.20, 184,816.80 and 110,745.30 is: 166,117.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,211.20 : 184,816.80 = 110,745.30 : x
  2. Step 2: Convert to fraction form
    123,211.20/184,816.80 = 110,745.30/x
  3. Step 3: Cross multiply
    123,211.20x = 184,816.80 × 110,745.30
  4. Step 4: Simplify right side
    123,211.20x = 20,467,591,961.04
  5. Step 5: Solve for x
    x = 20,467,591,961.04/123,211.20
  6. Step 6: Final answer
    x = 166,117.95

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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.