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Finding the Fourth Proportional to 193,797.12, 290,747.52 and 69,144.96

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Solution

The fourth proportional to 193,797.12, 290,747.52 and 69,144.96 is: 103,735.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,797.12 : 290,747.52 = 69,144.96 : x
  2. Step 2: Convert to fraction form
    193,797.12/290,747.52 = 69,144.96/x
  3. Step 3: Cross multiply
    193,797.12x = 290,747.52 × 69,144.96
  4. Step 4: Simplify right side
    193,797.12x = 20,103,725,640.50
  5. Step 5: Solve for x
    x = 20,103,725,640.50/193,797.12
  6. Step 6: Final answer
    x = 103,735.94

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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.