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Finding the Fourth Proportional to 198,697.19, 298,045.91 and 48,940.54

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Solution

The fourth proportional to 198,697.19, 298,045.91 and 48,940.54 is: 73,410.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,697.19 : 298,045.91 = 48,940.54 : x
  2. Step 2: Convert to fraction form
    198,697.19/298,045.91 = 48,940.54/x
  3. Step 3: Cross multiply
    198,697.19x = 298,045.91 × 48,940.54
  4. Step 4: Simplify right side
    198,697.19x = 14,586,527,157.43
  5. Step 5: Solve for x
    x = 14,586,527,157.43/198,697.19
  6. Step 6: Final answer
    x = 73,410.84

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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.