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Finding the Fourth Proportional to 279,781.40, 419,737.58 and 111,311.26

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Solution

The fourth proportional to 279,781.40, 419,737.58 and 111,311.26 is: 166,992.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,781.40 : 419,737.58 = 111,311.26 : x
  2. Step 2: Convert to fraction form
    279,781.40/419,737.58 = 111,311.26/x
  3. Step 3: Cross multiply
    279,781.40x = 419,737.58 × 111,311.26
  4. Step 4: Simplify right side
    279,781.40x = 46,721,518,899.15
  5. Step 5: Solve for x
    x = 46,721,518,899.15/279,781.40
  6. Step 6: Final answer
    x = 166,992.94

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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.