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Finding the Fourth Proportional to 206,363.86, 284,832.78 and 125,835.76

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Solution

The fourth proportional to 206,363.86, 284,832.78 and 125,835.76 is: 173,684.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,363.86 : 284,832.78 = 125,835.76 : x
  2. Step 2: Convert to fraction form
    206,363.86/284,832.78 = 125,835.76/x
  3. Step 3: Cross multiply
    206,363.86x = 284,832.78 × 125,835.76
  4. Step 4: Simplify right side
    206,363.86x = 35,842,149,344.21
  5. Step 5: Solve for x
    x = 35,842,149,344.21/206,363.86
  6. Step 6: Final answer
    x = 173,684.24

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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.