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Finding the Fourth Proportional to 167,808, 231,575 and 92,356.48

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Solution

The fourth proportional to 167,808, 231,575 and 92,356.48 is: 127,451.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,808 : 231,575 = 92,356.48 : x
  2. Step 2: Convert to fraction form
    167,808/231,575 = 92,356.48/x
  3. Step 3: Cross multiply
    167,808x = 231,575 × 92,356.48
  4. Step 4: Simplify right side
    167,808x = 21,387,451,856
  5. Step 5: Solve for x
    x = 21,387,451,856/167,808
  6. Step 6: Final answer
    x = 127,451.92

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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.