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Finding the Fourth Proportional to 279,706.10, 419,231.10 and 146,517.80

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Solution

The fourth proportional to 279,706.10, 419,231.10 and 146,517.80 is: 219,604.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,706.10 : 419,231.10 = 146,517.80 : x
  2. Step 2: Convert to fraction form
    279,706.10/419,231.10 = 146,517.80/x
  3. Step 3: Cross multiply
    279,706.10x = 419,231.10 × 146,517.80
  4. Step 4: Simplify right side
    279,706.10x = 61,424,818,463.58
  5. Step 5: Solve for x
    x = 61,424,818,463.58/279,706.10
  6. Step 6: Final answer
    x = 219,604.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.