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Finding the Fourth Proportional to 196,497.24, 271,154.28 and 115,950

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Solution

The fourth proportional to 196,497.24, 271,154.28 and 115,950 is: 160,003.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,497.24 : 271,154.28 = 115,950 : x
  2. Step 2: Convert to fraction form
    196,497.24/271,154.28 = 115,950/x
  3. Step 3: Cross multiply
    196,497.24x = 271,154.28 × 115,950
  4. Step 4: Simplify right side
    196,497.24x = 31,440,338,766.00
  5. Step 5: Solve for x
    x = 31,440,338,766.00/196,497.24
  6. Step 6: Final answer
    x = 160,003.97

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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.