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Finding the Fourth Proportional to 230,822.70, 345,942.45 and 205,745.10

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Solution

The fourth proportional to 230,822.70, 345,942.45 and 205,745.10 is: 308,357.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,822.70 : 345,942.45 = 205,745.10 : x
  2. Step 2: Convert to fraction form
    230,822.70/345,942.45 = 205,745.10/x
  3. Step 3: Cross multiply
    230,822.70x = 345,942.45 × 205,745.10
  4. Step 4: Simplify right side
    230,822.70x = 71,175,963,969.50
  5. Step 5: Solve for x
    x = 71,175,963,969.50/230,822.70
  6. Step 6: Final answer
    x = 308,357.73

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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.