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Finding the Fourth Proportional to 96,842.45, 133,658.46 and 80,684.16

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Solution

The fourth proportional to 96,842.45, 133,658.46 and 80,684.16 is: 111,357.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,842.45 : 133,658.46 = 80,684.16 : x
  2. Step 2: Convert to fraction form
    96,842.45/133,658.46 = 80,684.16/x
  3. Step 3: Cross multiply
    96,842.45x = 133,658.46 × 80,684.16
  4. Step 4: Simplify right side
    96,842.45x = 10,784,120,571.99
  5. Step 5: Solve for x
    x = 10,784,120,571.99/96,842.45
  6. Step 6: Final answer
    x = 111,357.38

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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.