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Finding the Fourth Proportional to 178,236.96, 267,352.32 and 71,667.84

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Solution

The fourth proportional to 178,236.96, 267,352.32 and 71,667.84 is: 107,500.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,236.96 : 267,352.32 = 71,667.84 : x
  2. Step 2: Convert to fraction form
    178,236.96/267,352.32 = 71,667.84/x
  3. Step 3: Cross multiply
    178,236.96x = 267,352.32 × 71,667.84
  4. Step 4: Simplify right side
    178,236.96x = 19,160,563,293.39
  5. Step 5: Solve for x
    x = 19,160,563,293.39/178,236.96
  6. Step 6: Final answer
    x = 107,500.51

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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.