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Finding the Fourth Proportional to 90,205.40, 135,361.54 and 50,257.82

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Solution

The fourth proportional to 90,205.40, 135,361.54 and 50,257.82 is: 75,416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,205.40 : 135,361.54 = 50,257.82 : x
  2. Step 2: Convert to fraction form
    90,205.40/135,361.54 = 50,257.82/x
  3. Step 3: Cross multiply
    90,205.40x = 135,361.54 × 50,257.82
  4. Step 4: Simplify right side
    90,205.40x = 6,802,975,912.24
  5. Step 5: Solve for x
    x = 6,802,975,912.24/90,205.40
  6. Step 6: Final answer
    x = 75,416.50

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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.