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Finding the Fourth Proportional to 277,571.88, 416,415.42 and 111,372.84

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Solution

The fourth proportional to 277,571.88, 416,415.42 and 111,372.84 is: 167,082.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,571.88 : 416,415.42 = 111,372.84 : x
  2. Step 2: Convert to fraction form
    277,571.88/416,415.42 = 111,372.84/x
  3. Step 3: Cross multiply
    277,571.88x = 416,415.42 × 111,372.84
  4. Step 4: Simplify right side
    277,571.88x = 46,377,367,945.19
  5. Step 5: Solve for x
    x = 46,377,367,945.19/277,571.88
  6. Step 6: Final answer
    x = 167,082.37

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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.