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Finding the Fourth Proportional to 111,147.28, 166,738.24 and 37,258

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Solution

The fourth proportional to 111,147.28, 166,738.24 and 37,258 is: 55,892.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,147.28 : 166,738.24 = 37,258 : x
  2. Step 2: Convert to fraction form
    111,147.28/166,738.24 = 37,258/x
  3. Step 3: Cross multiply
    111,147.28x = 166,738.24 × 37,258
  4. Step 4: Simplify right side
    111,147.28x = 6,212,333,345.92
  5. Step 5: Solve for x
    x = 6,212,333,345.92/111,147.28
  6. Step 6: Final answer
    x = 55,892.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.