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Finding the Fourth Proportional to 193,694.53, 290,375.37 and 67,318.35

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Solution

The fourth proportional to 193,694.53, 290,375.37 and 67,318.35 is: 100,919.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,694.53 : 290,375.37 = 67,318.35 : x
  2. Step 2: Convert to fraction form
    193,694.53/290,375.37 = 67,318.35/x
  3. Step 3: Cross multiply
    193,694.53x = 290,375.37 × 67,318.35
  4. Step 4: Simplify right side
    193,694.53x = 19,547,590,789.04
  5. Step 5: Solve for x
    x = 19,547,590,789.04/193,694.53
  6. Step 6: Final answer
    x = 100,919.69

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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.