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Finding the Fourth Proportional to 277,542.36, 416,314.62 and 67,179.96

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Solution

The fourth proportional to 277,542.36, 416,314.62 and 67,179.96 is: 100,770.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,542.36 : 416,314.62 = 67,179.96 : x
  2. Step 2: Convert to fraction form
    277,542.36/416,314.62 = 67,179.96/x
  3. Step 3: Cross multiply
    277,542.36x = 416,314.62 × 67,179.96
  4. Step 4: Simplify right side
    277,542.36x = 27,967,999,519.02
  5. Step 5: Solve for x
    x = 27,967,999,519.02/277,542.36
  6. Step 6: Final answer
    x = 100,770.20

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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.