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Finding the Fourth Proportional to 111,097.28, 166,663.20 and 37,208

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Solution

The fourth proportional to 111,097.28, 166,663.20 and 37,208 is: 55,817.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,097.28 : 166,663.20 = 37,208 : x
  2. Step 2: Convert to fraction form
    111,097.28/166,663.20 = 37,208/x
  3. Step 3: Cross multiply
    111,097.28x = 166,663.20 × 37,208
  4. Step 4: Simplify right side
    111,097.28x = 6,201,204,345.60
  5. Step 5: Solve for x
    x = 6,201,204,345.60/111,097.28
  6. Step 6: Final answer
    x = 55,817.79

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Why These Related Problems?

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