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Finding the Fourth Proportional to 277,536, 382,998.96 and 150,211.56

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Solution

The fourth proportional to 277,536, 382,998.96 and 150,211.56 is: 207,291.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,536 : 382,998.96 = 150,211.56 : x
  2. Step 2: Convert to fraction form
    277,536/382,998.96 = 150,211.56/x
  3. Step 3: Cross multiply
    277,536x = 382,998.96 × 150,211.56
  4. Step 4: Simplify right side
    277,536x = 57,530,871,259.98
  5. Step 5: Solve for x
    x = 57,530,871,259.98/277,536
  6. Step 6: Final answer
    x = 207,291.56

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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.