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Finding the Fourth Proportional to 193,561.79, 290,231.91 and 75,094.83

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Solution

The fourth proportional to 193,561.79, 290,231.91 and 75,094.83 is: 112,599.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,561.79 : 290,231.91 = 75,094.83 : x
  2. Step 2: Convert to fraction form
    193,561.79/290,231.91 = 75,094.83/x
  3. Step 3: Cross multiply
    193,561.79x = 290,231.91 × 75,094.83
  4. Step 4: Simplify right side
    193,561.79x = 21,794,915,942.03
  5. Step 5: Solve for x
    x = 21,794,915,942.03/193,561.79
  6. Step 6: Final answer
    x = 112,599.27

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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.