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Finding the Fourth Proportional to 198,376.78, 297,435.84 and 71,993.20

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Solution

The fourth proportional to 198,376.78, 297,435.84 and 71,993.20 is: 107,942.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,376.78 : 297,435.84 = 71,993.20 : x
  2. Step 2: Convert to fraction form
    198,376.78/297,435.84 = 71,993.20/x
  3. Step 3: Cross multiply
    198,376.78x = 297,435.84 × 71,993.20
  4. Step 4: Simplify right side
    198,376.78x = 21,413,357,916.29
  5. Step 5: Solve for x
    x = 21,413,357,916.29/198,376.78
  6. Step 6: Final answer
    x = 107,942.86

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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.