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Finding the Fourth Proportional to 206,694.93, 285,216.96 and 116,060.79

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Solution

The fourth proportional to 206,694.93, 285,216.96 and 116,060.79 is: 160,151.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,694.93 : 285,216.96 = 116,060.79 : x
  2. Step 2: Convert to fraction form
    206,694.93/285,216.96 = 116,060.79/x
  3. Step 3: Cross multiply
    206,694.93x = 285,216.96 × 116,060.79
  4. Step 4: Simplify right side
    206,694.93x = 33,102,505,699.00
  5. Step 5: Solve for x
    x = 33,102,505,699.00/206,694.93
  6. Step 6: Final answer
    x = 160,151.51

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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.