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Finding the Fourth Proportional to 198,090.27, 273,362.97 and 107,446

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Solution

The fourth proportional to 198,090.27, 273,362.97 and 107,446 is: 148,274.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,090.27 : 273,362.97 = 107,446 : x
  2. Step 2: Convert to fraction form
    198,090.27/273,362.97 = 107,446/x
  3. Step 3: Cross multiply
    198,090.27x = 273,362.97 × 107,446
  4. Step 4: Simplify right side
    198,090.27x = 29,371,757,674.62
  5. Step 5: Solve for x
    x = 29,371,757,674.62/198,090.27
  6. Step 6: Final answer
    x = 148,274.61

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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.