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Finding the Fourth Proportional to 193,704.52, 290,584.50 and 93,782.68

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Solution

The fourth proportional to 193,704.52, 290,584.50 and 93,782.68 is: 140,687.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,704.52 : 290,584.50 = 93,782.68 : x
  2. Step 2: Convert to fraction form
    193,704.52/290,584.50 = 93,782.68/x
  3. Step 3: Cross multiply
    193,704.52x = 290,584.50 × 93,782.68
  4. Step 4: Simplify right side
    193,704.52x = 27,251,793,176.46
  5. Step 5: Solve for x
    x = 27,251,793,176.46/193,704.52
  6. Step 6: Final answer
    x = 140,687.44

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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.