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Finding the Fourth Proportional to 198,384.30, 298,940.22 and 164,092.14

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Solution

The fourth proportional to 198,384.30, 298,940.22 and 164,092.14 is: 247,266.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,384.30 : 298,940.22 = 164,092.14 : x
  2. Step 2: Convert to fraction form
    198,384.30/298,940.22 = 164,092.14/x
  3. Step 3: Cross multiply
    198,384.30x = 298,940.22 × 164,092.14
  4. Step 4: Simplify right side
    198,384.30x = 49,053,740,431.87
  5. Step 5: Solve for x
    x = 49,053,740,431.87/198,384.30
  6. Step 6: Final answer
    x = 247,266.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.