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Finding the Fourth Proportional to 214,667.20, 321,872.80 and 131,620.80

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Solution

The fourth proportional to 214,667.20, 321,872.80 and 131,620.80 is: 197,352.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,667.20 : 321,872.80 = 131,620.80 : x
  2. Step 2: Convert to fraction form
    214,667.20/321,872.80 = 131,620.80/x
  3. Step 3: Cross multiply
    214,667.20x = 321,872.80 × 131,620.80
  4. Step 4: Simplify right side
    214,667.20x = 42,365,155,434.24
  5. Step 5: Solve for x
    x = 42,365,155,434.24/214,667.20
  6. Step 6: Final answer
    x = 197,352.72

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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.