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Finding the Fourth Proportional to 277,523.88, 416,285.84 and 67,161.84

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Solution

The fourth proportional to 277,523.88, 416,285.84 and 67,161.84 is: 100,742.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,523.88 : 416,285.84 = 67,161.84 : x
  2. Step 2: Convert to fraction form
    277,523.88/416,285.84 = 67,161.84/x
  3. Step 3: Cross multiply
    277,523.88x = 416,285.84 × 67,161.84
  4. Step 4: Simplify right side
    277,523.88x = 27,958,522,980.35
  5. Step 5: Solve for x
    x = 27,958,522,980.35/277,523.88
  6. Step 6: Final answer
    x = 100,742.76

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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.