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Finding the Fourth Proportional to 214,469.80, 321,704.70 and 148,114.60

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Solution

The fourth proportional to 214,469.80, 321,704.70 and 148,114.60 is: 222,171.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,469.80 : 321,704.70 = 148,114.60 : x
  2. Step 2: Convert to fraction form
    214,469.80/321,704.70 = 148,114.60/x
  3. Step 3: Cross multiply
    214,469.80x = 321,704.70 × 148,114.60
  4. Step 4: Simplify right side
    214,469.80x = 47,649,162,958.62
  5. Step 5: Solve for x
    x = 47,649,162,958.62/214,469.80
  6. Step 6: Final answer
    x = 222,171.90

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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.