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Finding the Fourth Proportional to 277,699.56, 416,463.15 and 100,183.44

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Solution

The fourth proportional to 277,699.56, 416,463.15 and 100,183.44 is: 150,244.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,699.56 : 416,463.15 = 100,183.44 : x
  2. Step 2: Convert to fraction form
    277,699.56/416,463.15 = 100,183.44/x
  3. Step 3: Cross multiply
    277,699.56x = 416,463.15 × 100,183.44
  4. Step 4: Simplify right side
    277,699.56x = 41,722,711,000.24
  5. Step 5: Solve for x
    x = 41,722,711,000.24/277,699.56
  6. Step 6: Final answer
    x = 150,244.07

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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.