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Finding the Fourth Proportional to 193,036.80, 289,324.80 and 80,716.80

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Solution

The fourth proportional to 193,036.80, 289,324.80 and 80,716.80 is: 120,978.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,036.80 : 289,324.80 = 80,716.80 : x
  2. Step 2: Convert to fraction form
    193,036.80/289,324.80 = 80,716.80/x
  3. Step 3: Cross multiply
    193,036.80x = 289,324.80 × 80,716.80
  4. Step 4: Simplify right side
    193,036.80x = 23,353,372,016.64
  5. Step 5: Solve for x
    x = 23,353,372,016.64/193,036.80
  6. Step 6: Final answer
    x = 120,978.86

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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.