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Finding the Fourth Proportional to 276,728.45, 381,754.76 and 161,936.06

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Solution

The fourth proportional to 276,728.45, 381,754.76 and 161,936.06 is: 223,395.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,728.45 : 381,754.76 = 161,936.06 : x
  2. Step 2: Convert to fraction form
    276,728.45/381,754.76 = 161,936.06/x
  3. Step 3: Cross multiply
    276,728.45x = 381,754.76 × 161,936.06
  4. Step 4: Simplify right side
    276,728.45x = 61,819,859,002.19
  5. Step 5: Solve for x
    x = 61,819,859,002.19/276,728.45
  6. Step 6: Final answer
    x = 223,395.39

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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.