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Finding the Fourth Proportional to 277,231.40, 382,579.06 and 149,906.69

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Solution

The fourth proportional to 277,231.40, 382,579.06 and 149,906.69 is: 206,871.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,231.40 : 382,579.06 = 149,906.69 : x
  2. Step 2: Convert to fraction form
    277,231.40/382,579.06 = 149,906.69/x
  3. Step 3: Cross multiply
    277,231.40x = 382,579.06 × 149,906.69
  4. Step 4: Simplify right side
    277,231.40x = 57,351,160,547.91
  5. Step 5: Solve for x
    x = 57,351,160,547.91/277,231.40
  6. Step 6: Final answer
    x = 206,871.09

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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.