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Finding the Fourth Proportional to 285,052.23, 427,644.84 and 82,652.56

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Solution

The fourth proportional to 285,052.23, 427,644.84 and 82,652.56 is: 123,998.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,052.23 : 427,644.84 = 82,652.56 : x
  2. Step 2: Convert to fraction form
    285,052.23/427,644.84 = 82,652.56/x
  3. Step 3: Cross multiply
    285,052.23x = 427,644.84 × 82,652.56
  4. Step 4: Simplify right side
    285,052.23x = 35,345,940,796.79
  5. Step 5: Solve for x
    x = 35,345,940,796.79/285,052.23
  6. Step 6: Final answer
    x = 123,998.12

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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.