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Finding the Fourth Proportional to 196,861.59, 294,849.21 and 137,960.21

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Solution

The fourth proportional to 196,861.59, 294,849.21 and 137,960.21 is: 206,629.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,861.59 : 294,849.21 = 137,960.21 : x
  2. Step 2: Convert to fraction form
    196,861.59/294,849.21 = 137,960.21/x
  3. Step 3: Cross multiply
    196,861.59x = 294,849.21 × 137,960.21
  4. Step 4: Simplify right side
    196,861.59x = 40,677,460,184.41
  5. Step 5: Solve for x
    x = 40,677,460,184.41/196,861.59
  6. Step 6: Final answer
    x = 206,629.75

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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.