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Finding the Fourth Proportional to 167,702.34, 231,434.40 and 91,227

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Solution

The fourth proportional to 167,702.34, 231,434.40 and 91,227 is: 125,896.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,702.34 : 231,434.40 = 91,227 : x
  2. Step 2: Convert to fraction form
    167,702.34/231,434.40 = 91,227/x
  3. Step 3: Cross multiply
    167,702.34x = 231,434.40 × 91,227
  4. Step 4: Simplify right side
    167,702.34x = 21,113,066,008.80
  5. Step 5: Solve for x
    x = 21,113,066,008.80/167,702.34
  6. Step 6: Final answer
    x = 125,896.07

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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.