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Finding the Fourth Proportional to 193,952.42, 290,306.35 and 103,769.54

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Solution

The fourth proportional to 193,952.42, 290,306.35 and 103,769.54 is: 155,321.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,952.42 : 290,306.35 = 103,769.54 : x
  2. Step 2: Convert to fraction form
    193,952.42/290,306.35 = 103,769.54/x
  3. Step 3: Cross multiply
    193,952.42x = 290,306.35 × 103,769.54
  4. Step 4: Simplify right side
    193,952.42x = 30,124,954,687.62
  5. Step 5: Solve for x
    x = 30,124,954,687.62/193,952.42
  6. Step 6: Final answer
    x = 155,321.37

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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.