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Finding the Fourth Proportional to 277,676.82, 416,515.23 and 67,314.75

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Solution

The fourth proportional to 277,676.82, 416,515.23 and 67,314.75 is: 100,972.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,676.82 : 416,515.23 = 67,314.75 : x
  2. Step 2: Convert to fraction form
    277,676.82/416,515.23 = 67,314.75/x
  3. Step 3: Cross multiply
    277,676.82x = 416,515.23 × 67,314.75
  4. Step 4: Simplify right side
    277,676.82x = 28,037,618,578.64
  5. Step 5: Solve for x
    x = 28,037,618,578.64/277,676.82
  6. Step 6: Final answer
    x = 100,972.13

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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.