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Finding the Fourth Proportional to 225,523.92, 311,200.20 and 134,861.88

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Solution

The fourth proportional to 225,523.92, 311,200.20 and 134,861.88 is: 186,095.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,523.92 : 311,200.20 = 134,861.88 : x
  2. Step 2: Convert to fraction form
    225,523.92/311,200.20 = 134,861.88/x
  3. Step 3: Cross multiply
    225,523.92x = 311,200.20 × 134,861.88
  4. Step 4: Simplify right side
    225,523.92x = 41,969,044,028.38
  5. Step 5: Solve for x
    x = 41,969,044,028.38/225,523.92
  6. Step 6: Final answer
    x = 186,095.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.