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Finding the Fourth Proportional to 206,264.20, 284,664.77 and 115,620.34

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Solution

The fourth proportional to 206,264.20, 284,664.77 and 115,620.34 is: 159,567.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,264.20 : 284,664.77 = 115,620.34 : x
  2. Step 2: Convert to fraction form
    206,264.20/284,664.77 = 115,620.34/x
  3. Step 3: Cross multiply
    206,264.20x = 284,664.77 × 115,620.34
  4. Step 4: Simplify right side
    206,264.20x = 32,913,037,493.42
  5. Step 5: Solve for x
    x = 32,913,037,493.42/206,264.20
  6. Step 6: Final answer
    x = 159,567.38

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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.