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Finding the Fourth Proportional to 198,892.86, 298,293.72 and 56,735.44

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Solution

The fourth proportional to 198,892.86, 298,293.72 and 56,735.44 is: 85,090.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,892.86 : 298,293.72 = 56,735.44 : x
  2. Step 2: Convert to fraction form
    198,892.86/298,293.72 = 56,735.44/x
  3. Step 3: Cross multiply
    198,892.86x = 298,293.72 × 56,735.44
  4. Step 4: Simplify right side
    198,892.86x = 16,923,825,453.44
  5. Step 5: Solve for x
    x = 16,923,825,453.44/198,892.86
  6. Step 6: Final answer
    x = 85,090.16

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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.