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Finding the Fourth Proportional to 206,874.46, 310,305.52 and 57,123.90

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Solution

The fourth proportional to 206,874.46, 310,305.52 and 57,123.90 is: 85,684.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,874.46 : 310,305.52 = 57,123.90 : x
  2. Step 2: Convert to fraction form
    206,874.46/310,305.52 = 57,123.90/x
  3. Step 3: Cross multiply
    206,874.46x = 310,305.52 × 57,123.90
  4. Step 4: Simplify right side
    206,874.46x = 17,725,861,493.93
  5. Step 5: Solve for x
    x = 17,725,861,493.93/206,874.46
  6. Step 6: Final answer
    x = 85,684.15

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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.