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Finding the Fourth Proportional to 276,725.46, 381,881.70 and 161,983.38

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Solution

The fourth proportional to 276,725.46, 381,881.70 and 161,983.38 is: 223,537.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,725.46 : 381,881.70 = 161,983.38 : x
  2. Step 2: Convert to fraction form
    276,725.46/381,881.70 = 161,983.38/x
  3. Step 3: Cross multiply
    276,725.46x = 381,881.70 × 161,983.38
  4. Step 4: Simplify right side
    276,725.46x = 61,858,488,526.15
  5. Step 5: Solve for x
    x = 61,858,488,526.15/276,725.46
  6. Step 6: Final answer
    x = 223,537.40

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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.