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Finding the Fourth Proportional to 115,682.38, 159,640.56 and 64,694.53

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Solution

The fourth proportional to 115,682.38, 159,640.56 and 64,694.53 is: 89,277.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,682.38 : 159,640.56 = 64,694.53 : x
  2. Step 2: Convert to fraction form
    115,682.38/159,640.56 = 64,694.53/x
  3. Step 3: Cross multiply
    115,682.38x = 159,640.56 × 64,694.53
  4. Step 4: Simplify right side
    115,682.38x = 10,327,870,998.14
  5. Step 5: Solve for x
    x = 10,327,870,998.14/115,682.38
  6. Step 6: Final answer
    x = 89,277.82

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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.