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Finding the Fourth Proportional to 277,151.41, 382,469.07 and 149,827.04

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Solution

The fourth proportional to 277,151.41, 382,469.07 and 149,827.04 is: 206,761.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,151.41 : 382,469.07 = 149,827.04 : x
  2. Step 2: Convert to fraction form
    277,151.41/382,469.07 = 149,827.04/x
  3. Step 3: Cross multiply
    277,151.41x = 382,469.07 × 149,827.04
  4. Step 4: Simplify right side
    277,151.41x = 57,304,208,649.65
  5. Step 5: Solve for x
    x = 57,304,208,649.65/277,151.41
  6. Step 6: Final answer
    x = 206,761.38

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Why These Related Problems?

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