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Finding the Fourth Proportional to 214,469.40, 321,704.10 and 164,800.20

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Solution

The fourth proportional to 214,469.40, 321,704.10 and 164,800.20 is: 247,200.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,469.40 : 321,704.10 = 164,800.20 : x
  2. Step 2: Convert to fraction form
    214,469.40/321,704.10 = 164,800.20/x
  3. Step 3: Cross multiply
    214,469.40x = 321,704.10 × 164,800.20
  4. Step 4: Simplify right side
    214,469.40x = 53,016,900,020.82
  5. Step 5: Solve for x
    x = 53,016,900,020.82/214,469.40
  6. Step 6: Final answer
    x = 247,200.30

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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.