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Finding the Fourth Proportional to 277,857.93, 416,786.85 and 67,494.45

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Solution

The fourth proportional to 277,857.93, 416,786.85 and 67,494.45 is: 101,241.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,857.93 : 416,786.85 = 67,494.45 : x
  2. Step 2: Convert to fraction form
    277,857.93/416,786.85 = 67,494.45/x
  3. Step 3: Cross multiply
    277,857.93x = 416,786.85 × 67,494.45
  4. Step 4: Simplify right side
    277,857.93x = 28,130,799,207.98
  5. Step 5: Solve for x
    x = 28,130,799,207.98/277,857.93
  6. Step 6: Final answer
    x = 101,241.66

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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.