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Finding the Fourth Proportional to 198,889.86, 298,289.22 and 56,732.44

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Solution

The fourth proportional to 198,889.86, 298,289.22 and 56,732.44 is: 85,085.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,889.86 : 298,289.22 = 56,732.44 : x
  2. Step 2: Convert to fraction form
    198,889.86/298,289.22 = 56,732.44/x
  3. Step 3: Cross multiply
    198,889.86x = 298,289.22 × 56,732.44
  4. Step 4: Simplify right side
    198,889.86x = 16,922,675,276.30
  5. Step 5: Solve for x
    x = 16,922,675,276.30/198,889.86
  6. Step 6: Final answer
    x = 85,085.66

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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.