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Finding the Fourth Proportional to 118,234.76, 177,198.12 and 48,032

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Solution

The fourth proportional to 118,234.76, 177,198.12 and 48,032 is: 71,985.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,234.76 : 177,198.12 = 48,032 : x
  2. Step 2: Convert to fraction form
    118,234.76/177,198.12 = 48,032/x
  3. Step 3: Cross multiply
    118,234.76x = 177,198.12 × 48,032
  4. Step 4: Simplify right side
    118,234.76x = 8,511,180,099.84
  5. Step 5: Solve for x
    x = 8,511,180,099.84/118,234.76
  6. Step 6: Final answer
    x = 71,985.43

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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.