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Finding the Fourth Proportional to 277,558.36, 416,338.80 and 67,195.96

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Solution

The fourth proportional to 277,558.36, 416,338.80 and 67,195.96 is: 100,794.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,558.36 : 416,338.80 = 67,195.96 : x
  2. Step 2: Convert to fraction form
    277,558.36/416,338.80 = 67,195.96/x
  3. Step 3: Cross multiply
    277,558.36x = 416,338.80 × 67,195.96
  4. Step 4: Simplify right side
    277,558.36x = 27,976,285,351.25
  5. Step 5: Solve for x
    x = 27,976,285,351.25/277,558.36
  6. Step 6: Final answer
    x = 100,794.25

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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.