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Finding the Fourth Proportional to 192,694.26, 288,969.54 and 66,299.16

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Solution

The fourth proportional to 192,694.26, 288,969.54 and 66,299.16 is: 99,424.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,694.26 : 288,969.54 = 66,299.16 : x
  2. Step 2: Convert to fraction form
    192,694.26/288,969.54 = 66,299.16/x
  3. Step 3: Cross multiply
    192,694.26x = 288,969.54 × 66,299.16
  4. Step 4: Simplify right side
    192,694.26x = 19,158,437,767.59
  5. Step 5: Solve for x
    x = 19,158,437,767.59/192,694.26
  6. Step 6: Final answer
    x = 99,424.02

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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.