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Finding the Fourth Proportional to 178,151.64, 267,236.62 and 45,033.02

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Solution

The fourth proportional to 178,151.64, 267,236.62 and 45,033.02 is: 67,551.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,151.64 : 267,236.62 = 45,033.02 : x
  2. Step 2: Convert to fraction form
    178,151.64/267,236.62 = 45,033.02/x
  3. Step 3: Cross multiply
    178,151.64x = 267,236.62 × 45,033.02
  4. Step 4: Simplify right side
    178,151.64x = 12,034,472,608.70
  5. Step 5: Solve for x
    x = 12,034,472,608.70/178,151.64
  6. Step 6: Final answer
    x = 67,551.85

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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.