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Finding the Fourth Proportional to 196,268.97, 294,443.69 and 76,323.09

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Solution

The fourth proportional to 196,268.97, 294,443.69 and 76,323.09 is: 114,500.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,268.97 : 294,443.69 = 76,323.09 : x
  2. Step 2: Convert to fraction form
    196,268.97/294,443.69 = 76,323.09/x
  3. Step 3: Cross multiply
    196,268.97x = 294,443.69 × 76,323.09
  4. Step 4: Simplify right side
    196,268.97x = 22,472,852,251.80
  5. Step 5: Solve for x
    x = 22,472,852,251.80/196,268.97
  6. Step 6: Final answer
    x = 114,500.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.