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Finding the Fourth Proportional to 209,441.20, 313,816.20 and 178,337.20

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Solution

The fourth proportional to 209,441.20, 313,816.20 and 178,337.20 is: 267,211.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,441.20 : 313,816.20 = 178,337.20 : x
  2. Step 2: Convert to fraction form
    209,441.20/313,816.20 = 178,337.20/x
  3. Step 3: Cross multiply
    209,441.20x = 313,816.20 × 178,337.20
  4. Step 4: Simplify right side
    209,441.20x = 55,965,102,422.64
  5. Step 5: Solve for x
    x = 55,965,102,422.64/209,441.20
  6. Step 6: Final answer
    x = 267,211.52

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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.