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Finding the Fourth Proportional to 277,487.78, 382,934.13 and 150,163.34

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Solution

The fourth proportional to 277,487.78, 382,934.13 and 150,163.34 is: 207,225.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,487.78 : 382,934.13 = 150,163.34 : x
  2. Step 2: Convert to fraction form
    277,487.78/382,934.13 = 150,163.34/x
  3. Step 3: Cross multiply
    277,487.78x = 382,934.13 × 150,163.34
  4. Step 4: Simplify right side
    277,487.78x = 57,502,667,960.79
  5. Step 5: Solve for x
    x = 57,502,667,960.79/277,487.78
  6. Step 6: Final answer
    x = 207,225.95

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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.