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Finding the Fourth Proportional to 277,384.50, 382,791.07 and 150,060.09

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Solution

The fourth proportional to 277,384.50, 382,791.07 and 150,060.09 is: 207,083.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,384.50 : 382,791.07 = 150,060.09 : x
  2. Step 2: Convert to fraction form
    277,384.50/382,791.07 = 150,060.09/x
  3. Step 3: Cross multiply
    277,384.50x = 382,791.07 × 150,060.09
  4. Step 4: Simplify right side
    277,384.50x = 57,441,663,194.35
  5. Step 5: Solve for x
    x = 57,441,663,194.35/277,384.50
  6. Step 6: Final answer
    x = 207,083.18

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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.