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Finding the Fourth Proportional to 277,861.96, 416,793.96 and 67,499.89

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Solution

The fourth proportional to 277,861.96, 416,793.96 and 67,499.89 is: 101,250.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,861.96 : 416,793.96 = 67,499.89 : x
  2. Step 2: Convert to fraction form
    277,861.96/416,793.96 = 67,499.89/x
  3. Step 3: Cross multiply
    277,861.96x = 416,793.96 × 67,499.89
  4. Step 4: Simplify right side
    277,861.96x = 28,133,548,388.72
  5. Step 5: Solve for x
    x = 28,133,548,388.72/277,861.96
  6. Step 6: Final answer
    x = 101,250.09

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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.