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Finding the Fourth Proportional to 197,993.96, 273,247.44 and 111,971.06

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Solution

The fourth proportional to 197,993.96, 273,247.44 and 111,971.06 is: 154,528.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,993.96 : 273,247.44 = 111,971.06 : x
  2. Step 2: Convert to fraction form
    197,993.96/273,247.44 = 111,971.06/x
  3. Step 3: Cross multiply
    197,993.96x = 273,247.44 × 111,971.06
  4. Step 4: Simplify right side
    197,993.96x = 30,595,805,499.09
  5. Step 5: Solve for x
    x = 30,595,805,499.09/197,993.96
  6. Step 6: Final answer
    x = 154,528.98

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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.