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Finding the Fourth Proportional to 392,102.67, 588,107.24 and 107,822.10

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Solution

The fourth proportional to 392,102.67, 588,107.24 and 107,822.10 is: 161,720.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,102.67 : 588,107.24 = 107,822.10 : x
  2. Step 2: Convert to fraction form
    392,102.67/588,107.24 = 107,822.10/x
  3. Step 3: Cross multiply
    392,102.67x = 588,107.24 × 107,822.10
  4. Step 4: Simplify right side
    392,102.67x = 63,410,957,642.00
  5. Step 5: Solve for x
    x = 63,410,957,642.00/392,102.67
  6. Step 6: Final answer
    x = 161,720.29

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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.