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Finding the Fourth Proportional to 192,002.14, 264,969.31 and 104,792

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Solution

The fourth proportional to 192,002.14, 264,969.31 and 104,792 is: 144,616.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,002.14 : 264,969.31 = 104,792 : x
  2. Step 2: Convert to fraction form
    192,002.14/264,969.31 = 104,792/x
  3. Step 3: Cross multiply
    192,002.14x = 264,969.31 × 104,792
  4. Step 4: Simplify right side
    192,002.14x = 27,766,663,933.52
  5. Step 5: Solve for x
    x = 27,766,663,933.52/192,002.14
  6. Step 6: Final answer
    x = 144,616.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.