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Finding the Fourth Proportional to 192,694.92, 288,844.74 and 74,319.72

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Solution

The fourth proportional to 192,694.92, 288,844.74 and 74,319.72 is: 111,403.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,694.92 : 288,844.74 = 74,319.72 : x
  2. Step 2: Convert to fraction form
    192,694.92/288,844.74 = 74,319.72/x
  3. Step 3: Cross multiply
    192,694.92x = 288,844.74 × 74,319.72
  4. Step 4: Simplify right side
    192,694.92x = 21,466,860,200.27
  5. Step 5: Solve for x
    x = 21,466,860,200.27/192,694.92
  6. Step 6: Final answer
    x = 111,403.35

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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.