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Finding the Fourth Proportional to 178,297.63, 267,446.02 and 45,177.50

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Solution

The fourth proportional to 178,297.63, 267,446.02 and 45,177.50 is: 67,766.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,297.63 : 267,446.02 = 45,177.50 : x
  2. Step 2: Convert to fraction form
    178,297.63/267,446.02 = 45,177.50/x
  3. Step 3: Cross multiply
    178,297.63x = 267,446.02 × 45,177.50
  4. Step 4: Simplify right side
    178,297.63x = 12,082,542,568.55
  5. Step 5: Solve for x
    x = 12,082,542,568.55/178,297.63
  6. Step 6: Final answer
    x = 67,766.14

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Why These Related Problems?

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