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Finding the Fourth Proportional to 167,834.96, 231,613.84 and 92,384

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Solution

The fourth proportional to 167,834.96, 231,613.84 and 92,384 is: 127,490.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,834.96 : 231,613.84 = 92,384 : x
  2. Step 2: Convert to fraction form
    167,834.96/231,613.84 = 92,384/x
  3. Step 3: Cross multiply
    167,834.96x = 231,613.84 × 92,384
  4. Step 4: Simplify right side
    167,834.96x = 21,397,412,994.56
  5. Step 5: Solve for x
    x = 21,397,412,994.56/167,834.96
  6. Step 6: Final answer
    x = 127,490.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.