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Finding the Fourth Proportional to 188,761.72, 283,142.60 and 48,520.48

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Solution

The fourth proportional to 188,761.72, 283,142.60 and 48,520.48 is: 72,780.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,761.72 : 283,142.60 = 48,520.48 : x
  2. Step 2: Convert to fraction form
    188,761.72/283,142.60 = 48,520.48/x
  3. Step 3: Cross multiply
    188,761.72x = 283,142.60 × 48,520.48
  4. Step 4: Simplify right side
    188,761.72x = 13,738,214,860.45
  5. Step 5: Solve for x
    x = 13,738,214,860.45/188,761.72
  6. Step 6: Final answer
    x = 72,780.73

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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.