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Finding the Fourth Proportional to 331,063.14, 456,916.32 and 195,053.61

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Solution

The fourth proportional to 331,063.14, 456,916.32 and 195,053.61 is: 269,202.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,063.14 : 456,916.32 = 195,053.61 : x
  2. Step 2: Convert to fraction form
    331,063.14/456,916.32 = 195,053.61/x
  3. Step 3: Cross multiply
    331,063.14x = 456,916.32 × 195,053.61
  4. Step 4: Simplify right side
    331,063.14x = 89,123,177,683.92
  5. Step 5: Solve for x
    x = 89,123,177,683.92/331,063.14
  6. Step 6: Final answer
    x = 269,202.96

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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.