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Finding the Fourth Proportional to 146,049.80, 218,912.70 and 57,273.80

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Solution

The fourth proportional to 146,049.80, 218,912.70 and 57,273.80 is: 85,847.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,049.80 : 218,912.70 = 57,273.80 : x
  2. Step 2: Convert to fraction form
    146,049.80/218,912.70 = 57,273.80/x
  3. Step 3: Cross multiply
    146,049.80x = 218,912.70 × 57,273.80
  4. Step 4: Simplify right side
    146,049.80x = 12,537,962,197.26
  5. Step 5: Solve for x
    x = 12,537,962,197.26/146,049.80
  6. Step 6: Final answer
    x = 85,847.17

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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.