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Finding the Fourth Proportional to 225,212.27, 337,769.19 and 75,473.84

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Solution

The fourth proportional to 225,212.27, 337,769.19 and 75,473.84 is: 113,194.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,212.27 : 337,769.19 = 75,473.84 : x
  2. Step 2: Convert to fraction form
    225,212.27/337,769.19 = 75,473.84/x
  3. Step 3: Cross multiply
    225,212.27x = 337,769.19 × 75,473.84
  4. Step 4: Simplify right side
    225,212.27x = 25,492,738,647.41
  5. Step 5: Solve for x
    x = 25,492,738,647.41/225,212.27
  6. Step 6: Final answer
    x = 113,194.27

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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.