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Finding the Fourth Proportional to 277,231.35, 382,578.96 and 149,906.64

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Solution

The fourth proportional to 277,231.35, 382,578.96 and 149,906.64 is: 206,871.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,231.35 : 382,578.96 = 149,906.64 : x
  2. Step 2: Convert to fraction form
    277,231.35/382,578.96 = 149,906.64/x
  3. Step 3: Cross multiply
    277,231.35x = 382,578.96 × 149,906.64
  4. Step 4: Simplify right side
    277,231.35x = 57,351,126,428.29
  5. Step 5: Solve for x
    x = 57,351,126,428.29/277,231.35
  6. Step 6: Final answer
    x = 206,871.00

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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.