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Finding the Fourth Proportional to 285,939.43, 428,912.21 and 86,261.54

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Solution

The fourth proportional to 285,939.43, 428,912.21 and 86,261.54 is: 129,393.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,939.43 : 428,912.21 = 86,261.54 : x
  2. Step 2: Convert to fraction form
    285,939.43/428,912.21 = 86,261.54/x
  3. Step 3: Cross multiply
    285,939.43x = 428,912.21 × 86,261.54
  4. Step 4: Simplify right side
    285,939.43x = 36,998,629,047.34
  5. Step 5: Solve for x
    x = 36,998,629,047.34/285,939.43
  6. Step 6: Final answer
    x = 129,393.24

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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.