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Finding the Fourth Proportional to 167,678.91, 231,397.50 and 91,198

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Solution

The fourth proportional to 167,678.91, 231,397.50 and 91,198 is: 125,853.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,678.91 : 231,397.50 = 91,198 : x
  2. Step 2: Convert to fraction form
    167,678.91/231,397.50 = 91,198/x
  3. Step 3: Cross multiply
    167,678.91x = 231,397.50 × 91,198
  4. Step 4: Simplify right side
    167,678.91x = 21,102,989,205
  5. Step 5: Solve for x
    x = 21,102,989,205/167,678.91
  6. Step 6: Final answer
    x = 125,853.57

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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.