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Finding the Fourth Proportional to 225,770.49, 311,293.94 and 145,201.41

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Solution

The fourth proportional to 225,770.49, 311,293.94 and 145,201.41 is: 200,204.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,770.49 : 311,293.94 = 145,201.41 : x
  2. Step 2: Convert to fraction form
    225,770.49/311,293.94 = 145,201.41/x
  3. Step 3: Cross multiply
    225,770.49x = 311,293.94 × 145,201.41
  4. Step 4: Simplify right side
    225,770.49x = 45,200,318,286.45
  5. Step 5: Solve for x
    x = 45,200,318,286.45/225,770.49
  6. Step 6: Final answer
    x = 200,204.72

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