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Finding the Fourth Proportional to 224,370.26, 336,510.14 and 82,167

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Solution

The fourth proportional to 224,370.26, 336,510.14 and 82,167 is: 123,233.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,370.26 : 336,510.14 = 82,167 : x
  2. Step 2: Convert to fraction form
    224,370.26/336,510.14 = 82,167/x
  3. Step 3: Cross multiply
    224,370.26x = 336,510.14 × 82,167
  4. Step 4: Simplify right side
    224,370.26x = 27,650,028,673.38
  5. Step 5: Solve for x
    x = 27,650,028,673.38/224,370.26
  6. Step 6: Final answer
    x = 123,233.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.