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Finding the Fourth Proportional to 196,589.64, 271,266.34 and 116,020.52

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Solution

The fourth proportional to 196,589.64, 271,266.34 and 116,020.52 is: 160,092.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,589.64 : 271,266.34 = 116,020.52 : x
  2. Step 2: Convert to fraction form
    196,589.64/271,266.34 = 116,020.52/x
  3. Step 3: Cross multiply
    196,589.64x = 271,266.34 × 116,020.52
  4. Step 4: Simplify right side
    196,589.64x = 31,472,461,825.30
  5. Step 5: Solve for x
    x = 31,472,461,825.30/196,589.64
  6. Step 6: Final answer
    x = 160,092.17

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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.