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Finding the Fourth Proportional to 277,231.15, 382,578.71 and 149,906.44

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Solution

The fourth proportional to 277,231.15, 382,578.71 and 149,906.44 is: 206,870.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,231.15 : 382,578.71 = 149,906.44 : x
  2. Step 2: Convert to fraction form
    277,231.15/382,578.71 = 149,906.44/x
  3. Step 3: Cross multiply
    277,231.15x = 382,578.71 × 149,906.44
  4. Step 4: Simplify right side
    277,231.15x = 57,351,011,854.21
  5. Step 5: Solve for x
    x = 57,351,011,854.21/277,231.15
  6. Step 6: Final answer
    x = 206,870.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.