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Finding the Fourth Proportional to 276,717.56, 381,897.38 and 161,989.28

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Solution

The fourth proportional to 276,717.56, 381,897.38 and 161,989.28 is: 223,561.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,717.56 : 381,897.38 = 161,989.28 : x
  2. Step 2: Convert to fraction form
    276,717.56/381,897.38 = 161,989.28/x
  3. Step 3: Cross multiply
    276,717.56x = 381,897.38 × 161,989.28
  4. Step 4: Simplify right side
    276,717.56x = 61,863,281,620.09
  5. Step 5: Solve for x
    x = 61,863,281,620.09/276,717.56
  6. Step 6: Final answer
    x = 223,561.10

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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.