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Finding the Fourth Proportional to 273,158.10, 409,737.15 and 166,869.90

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Solution

The fourth proportional to 273,158.10, 409,737.15 and 166,869.90 is: 250,304.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,158.10 : 409,737.15 = 166,869.90 : x
  2. Step 2: Convert to fraction form
    273,158.10/409,737.15 = 166,869.90/x
  3. Step 3: Cross multiply
    273,158.10x = 409,737.15 × 166,869.90
  4. Step 4: Simplify right side
    273,158.10x = 68,372,797,246.79
  5. Step 5: Solve for x
    x = 68,372,797,246.79/273,158.10
  6. Step 6: Final answer
    x = 250,304.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.