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Finding the Fourth Proportional to 277,601.90, 416,401.42 and 67,239.82

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Solution

The fourth proportional to 277,601.90, 416,401.42 and 67,239.82 is: 100,859.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,601.90 : 416,401.42 = 67,239.82 : x
  2. Step 2: Convert to fraction form
    277,601.90/416,401.42 = 67,239.82/x
  3. Step 3: Cross multiply
    277,601.90x = 416,401.42 × 67,239.82
  4. Step 4: Simplify right side
    277,601.90x = 27,998,756,528.54
  5. Step 5: Solve for x
    x = 27,998,756,528.54/277,601.90
  6. Step 6: Final answer
    x = 100,859.38

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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.