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Finding the Fourth Proportional to 167,680, 231,404.80 and 92,226.88

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Solution

The fourth proportional to 167,680, 231,404.80 and 92,226.88 is: 127,276.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,680 : 231,404.80 = 92,226.88 : x
  2. Step 2: Convert to fraction form
    167,680/231,404.80 = 92,226.88/x
  3. Step 3: Cross multiply
    167,680x = 231,404.80 × 92,226.88
  4. Step 4: Simplify right side
    167,680x = 21,341,742,721.02
  5. Step 5: Solve for x
    x = 21,341,742,721.02/167,680
  6. Step 6: Final answer
    x = 127,276.61

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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.