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Finding the Fourth Proportional to 196,271.97, 294,448.19 and 76,326.09

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Solution

The fourth proportional to 196,271.97, 294,448.19 and 76,326.09 is: 114,504.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,271.97 : 294,448.19 = 76,326.09 : x
  2. Step 2: Convert to fraction form
    196,271.97/294,448.19 = 76,326.09/x
  3. Step 3: Cross multiply
    196,271.97x = 294,448.19 × 76,326.09
  4. Step 4: Simplify right side
    196,271.97x = 22,474,079,050.28
  5. Step 5: Solve for x
    x = 22,474,079,050.28/196,271.97
  6. Step 6: Final answer
    x = 114,504.78

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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.