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Finding the Fourth Proportional to 193,494.54, 290,353.89 and 81,164.76

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Solution

The fourth proportional to 193,494.54, 290,353.89 and 81,164.76 is: 121,794.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,494.54 : 290,353.89 = 81,164.76 : x
  2. Step 2: Convert to fraction form
    193,494.54/290,353.89 = 81,164.76/x
  3. Step 3: Cross multiply
    193,494.54x = 290,353.89 × 81,164.76
  4. Step 4: Simplify right side
    193,494.54x = 23,566,503,796.92
  5. Step 5: Solve for x
    x = 23,566,503,796.92/193,494.54
  6. Step 6: Final answer
    x = 121,794.15

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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.