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Finding the Fourth Proportional to 225,513.48, 311,067.78 and 145,045.96

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Solution

The fourth proportional to 225,513.48, 311,067.78 and 145,045.96 is: 200,072.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,513.48 : 311,067.78 = 145,045.96 : x
  2. Step 2: Convert to fraction form
    225,513.48/311,067.78 = 145,045.96/x
  3. Step 3: Cross multiply
    225,513.48x = 311,067.78 × 145,045.96
  4. Step 4: Simplify right side
    225,513.48x = 45,119,124,775.17
  5. Step 5: Solve for x
    x = 45,119,124,775.17/225,513.48
  6. Step 6: Final answer
    x = 200,072.85

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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.