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Finding the Fourth Proportional to 196,478.19, 294,274.19 and 137,576.82

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Solution

The fourth proportional to 196,478.19, 294,274.19 and 137,576.82 is: 206,054.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,478.19 : 294,274.19 = 137,576.82 : x
  2. Step 2: Convert to fraction form
    196,478.19/294,274.19 = 137,576.82/x
  3. Step 3: Cross multiply
    196,478.19x = 294,274.19 × 137,576.82
  4. Step 4: Simplify right side
    196,478.19x = 40,485,306,580.39
  5. Step 5: Solve for x
    x = 40,485,306,580.39/196,478.19
  6. Step 6: Final answer
    x = 206,054.97

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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.