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Finding the Fourth Proportional to 228,553.28, 315,233.44 and 147,918.56

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Solution

The fourth proportional to 228,553.28, 315,233.44 and 147,918.56 is: 204,017.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,553.28 : 315,233.44 = 147,918.56 : x
  2. Step 2: Convert to fraction form
    228,553.28/315,233.44 = 147,918.56/x
  3. Step 3: Cross multiply
    228,553.28x = 315,233.44 × 147,918.56
  4. Step 4: Simplify right side
    228,553.28x = 46,628,876,508.65
  5. Step 5: Solve for x
    x = 46,628,876,508.65/228,553.28
  6. Step 6: Final answer
    x = 204,017.53

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Why These Related Problems?

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