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Finding the Fourth Proportional to 225,604.25, 311,475.44 and 145,171.56

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Solution

The fourth proportional to 225,604.25, 311,475.44 and 145,171.56 is: 200,427.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,604.25 : 311,475.44 = 145,171.56 : x
  2. Step 2: Convert to fraction form
    225,604.25/311,475.44 = 145,171.56/x
  3. Step 3: Cross multiply
    225,604.25x = 311,475.44 × 145,171.56
  4. Step 4: Simplify right side
    225,604.25x = 45,217,374,800.63
  5. Step 5: Solve for x
    x = 45,217,374,800.63/225,604.25
  6. Step 6: Final answer
    x = 200,427.85

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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.