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Finding the Fourth Proportional to 196,477.69, 294,273.43 and 137,576.32

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Solution

The fourth proportional to 196,477.69, 294,273.43 and 137,576.32 is: 206,054.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,477.69 : 294,273.43 = 137,576.32 : x
  2. Step 2: Convert to fraction form
    196,477.69/294,273.43 = 137,576.32/x
  3. Step 3: Cross multiply
    196,477.69x = 294,273.43 × 137,576.32
  4. Step 4: Simplify right side
    196,477.69x = 40,485,055,573.18
  5. Step 5: Solve for x
    x = 40,485,055,573.18/196,477.69
  6. Step 6: Final answer
    x = 206,054.21

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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.