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Finding the Fourth Proportional to 193,853.30, 290,793.84 and 51,697.85

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Solution

The fourth proportional to 193,853.30, 290,793.84 and 51,697.85 is: 77,550.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,853.30 : 290,793.84 = 51,697.85 : x
  2. Step 2: Convert to fraction form
    193,853.30/290,793.84 = 51,697.85/x
  3. Step 3: Cross multiply
    193,853.30x = 290,793.84 × 51,697.85
  4. Step 4: Simplify right side
    193,853.30x = 15,033,416,321.24
  5. Step 5: Solve for x
    x = 15,033,416,321.24/193,853.30
  6. Step 6: Final answer
    x = 77,550.48

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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.