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Finding the Fourth Proportional to 196,443.75, 271,092.38 and 107,019.75

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Solution

The fourth proportional to 196,443.75, 271,092.38 and 107,019.75 is: 147,687.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,443.75 : 271,092.38 = 107,019.75 : x
  2. Step 2: Convert to fraction form
    196,443.75/271,092.38 = 107,019.75/x
  3. Step 3: Cross multiply
    196,443.75x = 271,092.38 × 107,019.75
  4. Step 4: Simplify right side
    196,443.75x = 29,012,238,199.41
  5. Step 5: Solve for x
    x = 29,012,238,199.41/196,443.75
  6. Step 6: Final answer
    x = 147,687.26

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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.