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Finding the Fourth Proportional to 187,231.70, 280,847.55 and 180,233.30

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Solution

The fourth proportional to 187,231.70, 280,847.55 and 180,233.30 is: 270,349.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,231.70 : 280,847.55 = 180,233.30 : x
  2. Step 2: Convert to fraction form
    187,231.70/280,847.55 = 180,233.30/x
  3. Step 3: Cross multiply
    187,231.70x = 280,847.55 × 180,233.30
  4. Step 4: Simplify right side
    187,231.70x = 50,618,080,733.42
  5. Step 5: Solve for x
    x = 50,618,080,733.42/187,231.70
  6. Step 6: Final answer
    x = 270,349.95

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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.