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Finding the Fourth Proportional to 206,818.44, 310,245.52 and 57,058.73

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Solution

The fourth proportional to 206,818.44, 310,245.52 and 57,058.73 is: 85,593.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,818.44 : 310,245.52 = 57,058.73 : x
  2. Step 2: Convert to fraction form
    206,818.44/310,245.52 = 57,058.73/x
  3. Step 3: Cross multiply
    206,818.44x = 310,245.52 × 57,058.73
  4. Step 4: Simplify right side
    206,818.44x = 17,702,214,568.18
  5. Step 5: Solve for x
    x = 17,702,214,568.18/206,818.44
  6. Step 6: Final answer
    x = 85,593.02

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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.