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Finding the Fourth Proportional to 196,131.63, 294,197.44 and 137,082.63

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Solution

The fourth proportional to 196,131.63, 294,197.44 and 137,082.63 is: 205,623.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,131.63 : 294,197.44 = 137,082.63 : x
  2. Step 2: Convert to fraction form
    196,131.63/294,197.44 = 137,082.63/x
  3. Step 3: Cross multiply
    196,131.63x = 294,197.44 × 137,082.63
  4. Step 4: Simplify right side
    196,131.63x = 40,329,358,814.47
  5. Step 5: Solve for x
    x = 40,329,358,814.47/196,131.63
  6. Step 6: Final answer
    x = 205,623.94

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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.