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Finding the Fourth Proportional to 277,716.87, 416,294.77 and 109,355.34

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Solution

The fourth proportional to 277,716.87, 416,294.77 and 109,355.34 is: 163,922.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,716.87 : 416,294.77 = 109,355.34 : x
  2. Step 2: Convert to fraction form
    277,716.87/416,294.77 = 109,355.34/x
  3. Step 3: Cross multiply
    277,716.87x = 416,294.77 × 109,355.34
  4. Step 4: Simplify right side
    277,716.87x = 45,524,056,113.57
  5. Step 5: Solve for x
    x = 45,524,056,113.57/277,716.87
  6. Step 6: Final answer
    x = 163,922.54

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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.