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Finding the Fourth Proportional to 225,833.16, 311,377.32 and 195,151.44

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Solution

The fourth proportional to 225,833.16, 311,377.32 and 195,151.44 is: 269,073.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,833.16 : 311,377.32 = 195,151.44 : x
  2. Step 2: Convert to fraction form
    225,833.16/311,377.32 = 195,151.44/x
  3. Step 3: Cross multiply
    225,833.16x = 311,377.32 × 195,151.44
  4. Step 4: Simplify right side
    225,833.16x = 60,765,732,381.34
  5. Step 5: Solve for x
    x = 60,765,732,381.34/225,833.16
  6. Step 6: Final answer
    x = 269,073.56

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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.