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Finding the Fourth Proportional to 196,131, 294,196.51 and 137,082

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Solution

The fourth proportional to 196,131, 294,196.51 and 137,082 is: 205,623.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,131 : 294,196.51 = 137,082 : x
  2. Step 2: Convert to fraction form
    196,131/294,196.51 = 137,082/x
  3. Step 3: Cross multiply
    196,131x = 294,196.51 × 137,082
  4. Step 4: Simplify right side
    196,131x = 40,329,045,983.82
  5. Step 5: Solve for x
    x = 40,329,045,983.82/196,131
  6. Step 6: Final answer
    x = 205,623.01

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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.