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Finding the Fourth Proportional to 225,468.54, 310,996.74 and 144,997.86

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Solution

The fourth proportional to 225,468.54, 310,996.74 and 144,997.86 is: 200,000.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,468.54 : 310,996.74 = 144,997.86 : x
  2. Step 2: Convert to fraction form
    225,468.54/310,996.74 = 144,997.86/x
  3. Step 3: Cross multiply
    225,468.54x = 310,996.74 × 144,997.86
  4. Step 4: Simplify right side
    225,468.54x = 45,093,861,766.98
  5. Step 5: Solve for x
    x = 45,093,861,766.98/225,468.54
  6. Step 6: Final answer
    x = 200,000.68

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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.