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Finding the Fourth Proportional to 192,454.57, 288,943.64 and 108,273.97

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Solution

The fourth proportional to 192,454.57, 288,943.64 and 108,273.97 is: 162,558.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,454.57 : 288,943.64 = 108,273.97 : x
  2. Step 2: Convert to fraction form
    192,454.57/288,943.64 = 108,273.97/x
  3. Step 3: Cross multiply
    192,454.57x = 288,943.64 × 108,273.97
  4. Step 4: Simplify right side
    192,454.57x = 31,285,075,009.05
  5. Step 5: Solve for x
    x = 31,285,075,009.05/192,454.57
  6. Step 6: Final answer
    x = 162,558.23

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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.