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Finding the Fourth Proportional to 197,805.84, 272,972.17 and 107,162.43

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Solution

The fourth proportional to 197,805.84, 272,972.17 and 107,162.43 is: 147,884.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,805.84 : 272,972.17 = 107,162.43 : x
  2. Step 2: Convert to fraction form
    197,805.84/272,972.17 = 107,162.43/x
  3. Step 3: Cross multiply
    197,805.84x = 272,972.17 × 107,162.43
  4. Step 4: Simplify right side
    197,805.84x = 29,252,361,474.10
  5. Step 5: Solve for x
    x = 29,252,361,474.10/197,805.84
  6. Step 6: Final answer
    x = 147,884.22

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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.