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Finding the Fourth Proportional to 299,727.60, 449,299.08 and 119,759.34

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Solution

The fourth proportional to 299,727.60, 449,299.08 and 119,759.34 is: 179,522.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,727.60 : 449,299.08 = 119,759.34 : x
  2. Step 2: Convert to fraction form
    299,727.60/449,299.08 = 119,759.34/x
  3. Step 3: Cross multiply
    299,727.60x = 449,299.08 × 119,759.34
  4. Step 4: Simplify right side
    299,727.60x = 53,807,761,283.41
  5. Step 5: Solve for x
    x = 53,807,761,283.41/299,727.60
  6. Step 6: Final answer
    x = 179,522.21

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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.