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Finding the Fourth Proportional to 392,101.45, 588,096.57 and 125,827.51

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Solution

The fourth proportional to 392,101.45, 588,096.57 and 125,827.51 is: 188,723.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,101.45 : 588,096.57 = 125,827.51 : x
  2. Step 2: Convert to fraction form
    392,101.45/588,096.57 = 125,827.51/x
  3. Step 3: Cross multiply
    392,101.45x = 588,096.57 × 125,827.51
  4. Step 4: Simplify right side
    392,101.45x = 73,998,727,042.64
  5. Step 5: Solve for x
    x = 73,998,727,042.64/392,101.45
  6. Step 6: Final answer
    x = 188,723.42

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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.