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Finding the Fourth Proportional to 196,426.26, 271,061.07 and 120,073.23

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Solution

The fourth proportional to 196,426.26, 271,061.07 and 120,073.23 is: 165,696.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,426.26 : 271,061.07 = 120,073.23 : x
  2. Step 2: Convert to fraction form
    196,426.26/271,061.07 = 120,073.23/x
  3. Step 3: Cross multiply
    196,426.26x = 271,061.07 × 120,073.23
  4. Step 4: Simplify right side
    196,426.26x = 32,547,179,179.99
  5. Step 5: Solve for x
    x = 32,547,179,179.99/196,426.26
  6. Step 6: Final answer
    x = 165,696.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.