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Finding the Fourth Proportional to 120,265.92, 180,396.99 and 41,380.83

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Solution

The fourth proportional to 120,265.92, 180,396.99 and 41,380.83 is: 62,070.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,265.92 : 180,396.99 = 41,380.83 : x
  2. Step 2: Convert to fraction form
    120,265.92/180,396.99 = 41,380.83/x
  3. Step 3: Cross multiply
    120,265.92x = 180,396.99 × 41,380.83
  4. Step 4: Simplify right side
    120,265.92x = 7,464,977,175.70
  5. Step 5: Solve for x
    x = 7,464,977,175.70/120,265.92
  6. Step 6: Final answer
    x = 62,070.59

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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.