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Finding the Fourth Proportional to 205,992.60, 309,219.30 and 192,456.60

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Solution

The fourth proportional to 205,992.60, 309,219.30 and 192,456.60 is: 288,900.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,992.60 : 309,219.30 = 192,456.60 : x
  2. Step 2: Convert to fraction form
    205,992.60/309,219.30 = 192,456.60/x
  3. Step 3: Cross multiply
    205,992.60x = 309,219.30 × 192,456.60
  4. Step 4: Simplify right side
    205,992.60x = 59,511,295,132.38
  5. Step 5: Solve for x
    x = 59,511,295,132.38/205,992.60
  6. Step 6: Final answer
    x = 288,900.16

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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.