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Finding the Fourth Proportional to 277,699.66, 416,463.32 and 100,183.57

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Solution

The fourth proportional to 277,699.66, 416,463.32 and 100,183.57 is: 150,244.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,699.66 : 416,463.32 = 100,183.57 : x
  2. Step 2: Convert to fraction form
    277,699.66/416,463.32 = 100,183.57/x
  3. Step 3: Cross multiply
    277,699.66x = 416,463.32 × 100,183.57
  4. Step 4: Simplify right side
    277,699.66x = 41,722,781,380.95
  5. Step 5: Solve for x
    x = 41,722,781,380.95/277,699.66
  6. Step 6: Final answer
    x = 150,244.27

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1.5x scale

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.