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Finding the Fourth Proportional to 205,296.66, 307,964.43 and 80,608.50

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Solution

The fourth proportional to 205,296.66, 307,964.43 and 80,608.50 is: 120,920.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,296.66 : 307,964.43 = 80,608.50 : x
  2. Step 2: Convert to fraction form
    205,296.66/307,964.43 = 80,608.50/x
  3. Step 3: Cross multiply
    205,296.66x = 307,964.43 × 80,608.50
  4. Step 4: Simplify right side
    205,296.66x = 24,824,550,755.66
  5. Step 5: Solve for x
    x = 24,824,550,755.66/205,296.66
  6. Step 6: Final answer
    x = 120,920.38

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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.