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Finding the Fourth Proportional to 276,637.34, 381,755.78 and 155,780.07

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Solution

The fourth proportional to 276,637.34, 381,755.78 and 155,780.07 is: 214,974.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,637.34 : 381,755.78 = 155,780.07 : x
  2. Step 2: Convert to fraction form
    276,637.34/381,755.78 = 155,780.07/x
  3. Step 3: Cross multiply
    276,637.34x = 381,755.78 × 155,780.07
  4. Step 4: Simplify right side
    276,637.34x = 59,469,941,352.40
  5. Step 5: Solve for x
    x = 59,469,941,352.40/276,637.34
  6. Step 6: Final answer
    x = 214,974.39

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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.