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Finding the Fourth Proportional to 187,099.92, 280,719.69 and 112,273.80

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Solution

The fourth proportional to 187,099.92, 280,719.69 and 112,273.80 is: 168,452.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,099.92 : 280,719.69 = 112,273.80 : x
  2. Step 2: Convert to fraction form
    187,099.92/280,719.69 = 112,273.80/x
  3. Step 3: Cross multiply
    187,099.92x = 280,719.69 × 112,273.80
  4. Step 4: Simplify right side
    187,099.92x = 31,517,466,331.12
  5. Step 5: Solve for x
    x = 31,517,466,331.12/187,099.92
  6. Step 6: Final answer
    x = 168,452.59

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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.