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Finding the Fourth Proportional to 206,576.37, 309,865.94 and 56,832.48

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Solution

The fourth proportional to 206,576.37, 309,865.94 and 56,832.48 is: 85,249.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,576.37 : 309,865.94 = 56,832.48 : x
  2. Step 2: Convert to fraction form
    206,576.37/309,865.94 = 56,832.48/x
  3. Step 3: Cross multiply
    206,576.37x = 309,865.94 × 56,832.48
  4. Step 4: Simplify right side
    206,576.37x = 17,610,449,553.57
  5. Step 5: Solve for x
    x = 17,610,449,553.57/206,576.37
  6. Step 6: Final answer
    x = 85,249.10

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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.