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Finding the Fourth Proportional to 193,846.38, 290,842.50 and 67,496.10

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Solution

The fourth proportional to 193,846.38, 290,842.50 and 67,496.10 is: 101,269.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,846.38 : 290,842.50 = 67,496.10 : x
  2. Step 2: Convert to fraction form
    193,846.38/290,842.50 = 67,496.10/x
  3. Step 3: Cross multiply
    193,846.38x = 290,842.50 × 67,496.10
  4. Step 4: Simplify right side
    193,846.38x = 19,630,734,464.25
  5. Step 5: Solve for x
    x = 19,630,734,464.25/193,846.38
  6. Step 6: Final answer
    x = 101,269.54

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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.