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Finding the Fourth Proportional to 196,132.64, 294,198.94 and 137,083.64

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Solution

The fourth proportional to 196,132.64, 294,198.94 and 137,083.64 is: 205,625.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,132.64 : 294,198.94 = 137,083.64 : x
  2. Step 2: Convert to fraction form
    196,132.64/294,198.94 = 137,083.64/x
  3. Step 3: Cross multiply
    196,132.64x = 294,198.94 × 137,083.64
  4. Step 4: Simplify right side
    196,132.64x = 40,329,861,579.34
  5. Step 5: Solve for x
    x = 40,329,861,579.34/196,132.64
  6. Step 6: Final answer
    x = 205,625.45

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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.