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Finding the Fourth Proportional to 205,992.10, 309,218.55 and 192,456.10

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Solution

The fourth proportional to 205,992.10, 309,218.55 and 192,456.10 is: 288,899.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,992.10 : 309,218.55 = 192,456.10 : x
  2. Step 2: Convert to fraction form
    205,992.10/309,218.55 = 192,456.10/x
  3. Step 3: Cross multiply
    205,992.10x = 309,218.55 × 192,456.10
  4. Step 4: Simplify right side
    205,992.10x = 59,510,996,180.66
  5. Step 5: Solve for x
    x = 59,510,996,180.66/205,992.10
  6. Step 6: Final answer
    x = 288,899.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.