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Finding the Fourth Proportional to 277,227.40, 382,531.38 and 156,363.40

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Solution

The fourth proportional to 277,227.40, 382,531.38 and 156,363.40 is: 215,757.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,227.40 : 382,531.38 = 156,363.40 : x
  2. Step 2: Convert to fraction form
    277,227.40/382,531.38 = 156,363.40/x
  3. Step 3: Cross multiply
    277,227.40x = 382,531.38 × 156,363.40
  4. Step 4: Simplify right side
    277,227.40x = 59,813,907,183.49
  5. Step 5: Solve for x
    x = 59,813,907,183.49/277,227.40
  6. Step 6: Final answer
    x = 215,757.56

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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.