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Finding the Fourth Proportional to 277,427.82, 382,847.67 and 150,100.62

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Solution

The fourth proportional to 277,427.82, 382,847.67 and 150,100.62 is: 207,137.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,427.82 : 382,847.67 = 150,100.62 : x
  2. Step 2: Convert to fraction form
    277,427.82/382,847.67 = 150,100.62/x
  3. Step 3: Cross multiply
    277,427.82x = 382,847.67 × 150,100.62
  4. Step 4: Simplify right side
    277,427.82x = 57,465,672,632.56
  5. Step 5: Solve for x
    x = 57,465,672,632.56/277,427.82
  6. Step 6: Final answer
    x = 207,137.38

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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.