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Finding the Fourth Proportional to 198,855.89, 298,284.44 and 49,096.20

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Solution

The fourth proportional to 198,855.89, 298,284.44 and 49,096.20 is: 73,644.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,855.89 : 298,284.44 = 49,096.20 : x
  2. Step 2: Convert to fraction form
    198,855.89/298,284.44 = 49,096.20/x
  3. Step 3: Cross multiply
    198,855.89x = 298,284.44 × 49,096.20
  4. Step 4: Simplify right side
    198,855.89x = 14,644,632,277.65
  5. Step 5: Solve for x
    x = 14,644,632,277.65/198,855.89
  6. Step 6: Final answer
    x = 73,644.45

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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.