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Finding the Fourth Proportional to 392,093.44, 588,084.57 and 125,819.50

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Solution

The fourth proportional to 392,093.44, 588,084.57 and 125,819.50 is: 188,711.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,093.44 : 588,084.57 = 125,819.50 : x
  2. Step 2: Convert to fraction form
    392,093.44/588,084.57 = 125,819.50/x
  3. Step 3: Cross multiply
    392,093.44x = 588,084.57 × 125,819.50
  4. Step 4: Simplify right side
    392,093.44x = 73,992,506,555.12
  5. Step 5: Solve for x
    x = 73,992,506,555.12/392,093.44
  6. Step 6: Final answer
    x = 188,711.41

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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.