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Finding the Fourth Proportional to 331,205.84, 457,123.68 and 195,231.72

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Solution

The fourth proportional to 331,205.84, 457,123.68 and 195,231.72 is: 269,454.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,205.84 : 457,123.68 = 195,231.72 : x
  2. Step 2: Convert to fraction form
    331,205.84/457,123.68 = 195,231.72/x
  3. Step 3: Cross multiply
    331,205.84x = 457,123.68 × 195,231.72
  4. Step 4: Simplify right side
    331,205.84x = 89,245,042,299.13
  5. Step 5: Solve for x
    x = 89,245,042,299.13/331,205.84
  6. Step 6: Final answer
    x = 269,454.92

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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.