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Finding the Fourth Proportional to 178,192.67, 267,251.38 and 106,177.50

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Solution

The fourth proportional to 178,192.67, 267,251.38 and 106,177.50 is: 159,243.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,192.67 : 267,251.38 = 106,177.50 : x
  2. Step 2: Convert to fraction form
    178,192.67/267,251.38 = 106,177.50/x
  3. Step 3: Cross multiply
    178,192.67x = 267,251.38 × 106,177.50
  4. Step 4: Simplify right side
    178,192.67x = 28,376,083,399.95
  5. Step 5: Solve for x
    x = 28,376,083,399.95/178,192.67
  6. Step 6: Final answer
    x = 159,243.83

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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.