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Finding the Fourth Proportional to 392,199.53, 588,221.83 and 107,816.70

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Solution

The fourth proportional to 392,199.53, 588,221.83 and 107,816.70 is: 161,703.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,199.53 : 588,221.83 = 107,816.70 : x
  2. Step 2: Convert to fraction form
    392,199.53/588,221.83 = 107,816.70/x
  3. Step 3: Cross multiply
    392,199.53x = 588,221.83 × 107,816.70
  4. Step 4: Simplify right side
    392,199.53x = 63,420,138,318.66
  5. Step 5: Solve for x
    x = 63,420,138,318.66/392,199.53
  6. Step 6: Final answer
    x = 161,703.76

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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.