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Finding the Fourth Proportional to 205,819.20, 308,728.80 and 193,377.60

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Solution

The fourth proportional to 205,819.20, 308,728.80 and 193,377.60 is: 290,066.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,819.20 : 308,728.80 = 193,377.60 : x
  2. Step 2: Convert to fraction form
    205,819.20/308,728.80 = 193,377.60/x
  3. Step 3: Cross multiply
    205,819.20x = 308,728.80 × 193,377.60
  4. Step 4: Simplify right side
    205,819.20x = 59,701,234,394.88
  5. Step 5: Solve for x
    x = 59,701,234,394.88/205,819.20
  6. Step 6: Final answer
    x = 290,066.40

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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.