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Finding the Fourth Proportional to 193,893.77, 290,838.44 and 75,648.15

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Solution

The fourth proportional to 193,893.77, 290,838.44 and 75,648.15 is: 113,471.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,893.77 : 290,838.44 = 75,648.15 : x
  2. Step 2: Convert to fraction form
    193,893.77/290,838.44 = 75,648.15/x
  3. Step 3: Cross multiply
    193,893.77x = 290,838.44 × 75,648.15
  4. Step 4: Simplify right side
    193,893.77x = 22,001,389,556.65
  5. Step 5: Solve for x
    x = 22,001,389,556.65/193,893.77
  6. Step 6: Final answer
    x = 113,471.36

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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.