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Finding the Fourth Proportional to 193,617.60, 290,440.80 and 68,942.40

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Solution

The fourth proportional to 193,617.60, 290,440.80 and 68,942.40 is: 103,418.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,617.60 : 290,440.80 = 68,942.40 : x
  2. Step 2: Convert to fraction form
    193,617.60/290,440.80 = 68,942.40/x
  3. Step 3: Cross multiply
    193,617.60x = 290,440.80 × 68,942.40
  4. Step 4: Simplify right side
    193,617.60x = 20,023,685,809.92
  5. Step 5: Solve for x
    x = 20,023,685,809.92/193,617.60
  6. Step 6: Final answer
    x = 103,418.73

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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.