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Finding the Fourth Proportional to 277,766.92, 416,650.46 and 78,087.37

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Solution

The fourth proportional to 277,766.92, 416,650.46 and 78,087.37 is: 117,131.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,766.92 : 416,650.46 = 78,087.37 : x
  2. Step 2: Convert to fraction form
    277,766.92/416,650.46 = 78,087.37/x
  3. Step 3: Cross multiply
    277,766.92x = 416,650.46 × 78,087.37
  4. Step 4: Simplify right side
    277,766.92x = 32,535,137,027.64
  5. Step 5: Solve for x
    x = 32,535,137,027.64/277,766.92
  6. Step 6: Final answer
    x = 117,131.07

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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.