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Finding the Fourth Proportional to 178,096.38, 267,142.32 and 71,527.50

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Solution

The fourth proportional to 178,096.38, 267,142.32 and 71,527.50 is: 107,290.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,096.38 : 267,142.32 = 71,527.50 : x
  2. Step 2: Convert to fraction form
    178,096.38/267,142.32 = 71,527.50/x
  3. Step 3: Cross multiply
    178,096.38x = 267,142.32 × 71,527.50
  4. Step 4: Simplify right side
    178,096.38x = 19,108,022,293.80
  5. Step 5: Solve for x
    x = 19,108,022,293.80/178,096.38
  6. Step 6: Final answer
    x = 107,290.35

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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.