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Finding the Fourth Proportional to 197,843.84, 273,024.75 and 107,199.78

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Solution

The fourth proportional to 197,843.84, 273,024.75 and 107,199.78 is: 147,935.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,843.84 : 273,024.75 = 107,199.78 : x
  2. Step 2: Convert to fraction form
    197,843.84/273,024.75 = 107,199.78/x
  3. Step 3: Cross multiply
    197,843.84x = 273,024.75 × 107,199.78
  4. Step 4: Simplify right side
    197,843.84x = 29,268,193,134.56
  5. Step 5: Solve for x
    x = 29,268,193,134.56/197,843.84
  6. Step 6: Final answer
    x = 147,935.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.