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Finding the Fourth Proportional to 104,098.67, 156,205.74 and 50,791.10

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Solution

The fourth proportional to 104,098.67, 156,205.74 and 50,791.10 is: 76,214.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,098.67 : 156,205.74 = 50,791.10 : x
  2. Step 2: Convert to fraction form
    104,098.67/156,205.74 = 50,791.10/x
  3. Step 3: Cross multiply
    104,098.67x = 156,205.74 × 50,791.10
  4. Step 4: Simplify right side
    104,098.67x = 7,933,860,579.89
  5. Step 5: Solve for x
    x = 7,933,860,579.89/104,098.67
  6. Step 6: Final answer
    x = 76,214.82

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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.