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Finding the Fourth Proportional to 193,489.94, 290,257.98 and 93,578.34

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Solution

The fourth proportional to 193,489.94, 290,257.98 and 93,578.34 is: 140,378.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,489.94 : 290,257.98 = 93,578.34 : x
  2. Step 2: Convert to fraction form
    193,489.94/290,257.98 = 93,578.34/x
  3. Step 3: Cross multiply
    193,489.94x = 290,257.98 × 93,578.34
  4. Step 4: Simplify right side
    193,489.94x = 27,161,859,202.60
  5. Step 5: Solve for x
    x = 27,161,859,202.60/193,489.94
  6. Step 6: Final answer
    x = 140,378.66

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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.