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Finding the Fourth Proportional to 167,727.48, 231,460.12 and 96,149.68

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Solution

The fourth proportional to 167,727.48, 231,460.12 and 96,149.68 is: 132,684.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,727.48 : 231,460.12 = 96,149.68 : x
  2. Step 2: Convert to fraction form
    167,727.48/231,460.12 = 96,149.68/x
  3. Step 3: Cross multiply
    167,727.48x = 231,460.12 × 96,149.68
  4. Step 4: Simplify right side
    167,727.48x = 22,254,816,470.76
  5. Step 5: Solve for x
    x = 22,254,816,470.76/167,727.48
  6. Step 6: Final answer
    x = 132,684.38

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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.