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Finding the Fourth Proportional to 214,206.80, 321,310.20 and 164,440.40

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Solution

The fourth proportional to 214,206.80, 321,310.20 and 164,440.40 is: 246,660.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,206.80 : 321,310.20 = 164,440.40 : x
  2. Step 2: Convert to fraction form
    214,206.80/321,310.20 = 164,440.40/x
  3. Step 3: Cross multiply
    214,206.80x = 321,310.20 × 164,440.40
  4. Step 4: Simplify right side
    214,206.80x = 52,836,377,812.08
  5. Step 5: Solve for x
    x = 52,836,377,812.08/214,206.80
  6. Step 6: Final answer
    x = 246,660.60

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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.