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Finding the Fourth Proportional to 206,819.60, 310,229.40 and 185,824.40

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Solution

The fourth proportional to 206,819.60, 310,229.40 and 185,824.40 is: 278,736.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,819.60 : 310,229.40 = 185,824.40 : x
  2. Step 2: Convert to fraction form
    206,819.60/310,229.40 = 185,824.40/x
  3. Step 3: Cross multiply
    206,819.60x = 310,229.40 × 185,824.40
  4. Step 4: Simplify right side
    206,819.60x = 57,648,192,117.36
  5. Step 5: Solve for x
    x = 57,648,192,117.36/206,819.60
  6. Step 6: Final answer
    x = 278,736.60

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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.