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Finding the Fourth Proportional to 214,141.20, 321,211.80 and 192,022.80

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Solution

The fourth proportional to 214,141.20, 321,211.80 and 192,022.80 is: 288,034.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,141.20 : 321,211.80 = 192,022.80 : x
  2. Step 2: Convert to fraction form
    214,141.20/321,211.80 = 192,022.80/x
  3. Step 3: Cross multiply
    214,141.20x = 321,211.80 × 192,022.80
  4. Step 4: Simplify right side
    214,141.20x = 61,679,989,229.04
  5. Step 5: Solve for x
    x = 61,679,989,229.04/214,141.20
  6. Step 6: Final answer
    x = 288,034.20

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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.