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Finding the Fourth Proportional to 277,166.44, 382,489.59 and 149,842

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Solution

The fourth proportional to 277,166.44, 382,489.59 and 149,842 is: 206,781.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,166.44 : 382,489.59 = 149,842 : x
  2. Step 2: Convert to fraction form
    277,166.44/382,489.59 = 149,842/x
  3. Step 3: Cross multiply
    277,166.44x = 382,489.59 × 149,842
  4. Step 4: Simplify right side
    277,166.44x = 57,313,005,144.78
  5. Step 5: Solve for x
    x = 57,313,005,144.78/277,166.44
  6. Step 6: Final answer
    x = 206,781.91

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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.