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Finding the Fourth Proportional to 277,757.22, 416,549.86 and 100,241.76

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Solution

The fourth proportional to 277,757.22, 416,549.86 and 100,241.76 is: 150,331.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,757.22 : 416,549.86 = 100,241.76 : x
  2. Step 2: Convert to fraction form
    277,757.22/416,549.86 = 100,241.76/x
  3. Step 3: Cross multiply
    277,757.22x = 416,549.86 × 100,241.76
  4. Step 4: Simplify right side
    277,757.22x = 41,755,691,094.15
  5. Step 5: Solve for x
    x = 41,755,691,094.15/277,757.22
  6. Step 6: Final answer
    x = 150,331.61

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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.