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Finding the Fourth Proportional to 193,762.05, 290,550.81 and 73,824.92

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Solution

The fourth proportional to 193,762.05, 290,550.81 and 73,824.92 is: 110,702.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,762.05 : 290,550.81 = 73,824.92 : x
  2. Step 2: Convert to fraction form
    193,762.05/290,550.81 = 73,824.92/x
  3. Step 3: Cross multiply
    193,762.05x = 290,550.81 × 73,824.92
  4. Step 4: Simplify right side
    193,762.05x = 21,449,889,906.39
  5. Step 5: Solve for x
    x = 21,449,889,906.39/193,762.05
  6. Step 6: Final answer
    x = 110,702.22

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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.