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Finding the Fourth Proportional to 206,593.76, 285,108.72 and 161,804

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Solution

The fourth proportional to 206,593.76, 285,108.72 and 161,804 is: 223,296.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,593.76 : 285,108.72 = 161,804 : x
  2. Step 2: Convert to fraction form
    206,593.76/285,108.72 = 161,804/x
  3. Step 3: Cross multiply
    206,593.76x = 285,108.72 × 161,804
  4. Step 4: Simplify right side
    206,593.76x = 46,131,731,330.88
  5. Step 5: Solve for x
    x = 46,131,731,330.88/206,593.76
  6. Step 6: Final answer
    x = 223,296.83

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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.