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Finding the Fourth Proportional to 277,757.46, 416,550.24 and 100,242

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Solution

The fourth proportional to 277,757.46, 416,550.24 and 100,242 is: 150,331.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,757.46 : 416,550.24 = 100,242 : x
  2. Step 2: Convert to fraction form
    277,757.46/416,550.24 = 100,242/x
  3. Step 3: Cross multiply
    277,757.46x = 416,550.24 × 100,242
  4. Step 4: Simplify right side
    277,757.46x = 41,755,829,158.08
  5. Step 5: Solve for x
    x = 41,755,829,158.08/277,757.46
  6. Step 6: Final answer
    x = 150,331.98

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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.