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Finding the Fourth Proportional to 277,472.41, 416,208.81 and 67,110.55

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Solution

The fourth proportional to 277,472.41, 416,208.81 and 67,110.55 is: 100,665.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,472.41 : 416,208.81 = 67,110.55 : x
  2. Step 2: Convert to fraction form
    277,472.41/416,208.81 = 67,110.55/x
  3. Step 3: Cross multiply
    277,472.41x = 416,208.81 × 67,110.55
  4. Step 4: Simplify right side
    277,472.41x = 27,932,000,072.90
  5. Step 5: Solve for x
    x = 27,932,000,072.90/277,472.41
  6. Step 6: Final answer
    x = 100,665.87

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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.