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Finding the Fourth Proportional to 206,118.86, 284,379.46 and 115,462.58

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Solution

The fourth proportional to 206,118.86, 284,379.46 and 115,462.58 is: 159,302.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,118.86 : 284,379.46 = 115,462.58 : x
  2. Step 2: Convert to fraction form
    206,118.86/284,379.46 = 115,462.58/x
  3. Step 3: Cross multiply
    206,118.86x = 284,379.46 × 115,462.58
  4. Step 4: Simplify right side
    206,118.86x = 32,835,184,440.05
  5. Step 5: Solve for x
    x = 32,835,184,440.05/206,118.86
  6. Step 6: Final answer
    x = 159,302.19

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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.