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Finding the Fourth Proportional to 225,910.42, 311,504.43 and 145,226.52

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Solution

The fourth proportional to 225,910.42, 311,504.43 and 145,226.52 is: 200,250.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,910.42 : 311,504.43 = 145,226.52 : x
  2. Step 2: Convert to fraction form
    225,910.42/311,504.43 = 145,226.52/x
  3. Step 3: Cross multiply
    225,910.42x = 311,504.43 × 145,226.52
  4. Step 4: Simplify right side
    225,910.42x = 45,238,704,878.08
  5. Step 5: Solve for x
    x = 45,238,704,878.08/225,910.42
  6. Step 6: Final answer
    x = 200,250.64

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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.