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Finding the Fourth Proportional to 277,761.72, 416,556.59 and 100,246.26

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Solution

The fourth proportional to 277,761.72, 416,556.59 and 100,246.26 is: 150,338.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,761.72 : 416,556.59 = 100,246.26 : x
  2. Step 2: Convert to fraction form
    277,761.72/416,556.59 = 100,246.26/x
  3. Step 3: Cross multiply
    277,761.72x = 416,556.59 × 100,246.26
  4. Step 4: Simplify right side
    277,761.72x = 41,758,240,225.85
  5. Step 5: Solve for x
    x = 41,758,240,225.85/277,761.72
  6. Step 6: Final answer
    x = 150,338.36

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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.