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Finding the Fourth Proportional to 209,213.20, 313,819.80 and 182,969.20

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Solution

The fourth proportional to 209,213.20, 313,819.80 and 182,969.20 is: 274,453.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,213.20 : 313,819.80 = 182,969.20 : x
  2. Step 2: Convert to fraction form
    209,213.20/313,819.80 = 182,969.20/x
  3. Step 3: Cross multiply
    209,213.20x = 313,819.80 × 182,969.20
  4. Step 4: Simplify right side
    209,213.20x = 57,419,357,750.16
  5. Step 5: Solve for x
    x = 57,419,357,750.16/209,213.20
  6. Step 6: Final answer
    x = 274,453.80

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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.