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Finding the Fourth Proportional to 111,294.57, 166,830.48 and 55,175.75

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Solution

The fourth proportional to 111,294.57, 166,830.48 and 55,175.75 is: 82,708.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,294.57 : 166,830.48 = 55,175.75 : x
  2. Step 2: Convert to fraction form
    111,294.57/166,830.48 = 55,175.75/x
  3. Step 3: Cross multiply
    111,294.57x = 166,830.48 × 55,175.75
  4. Step 4: Simplify right side
    111,294.57x = 9,204,996,022.71
  5. Step 5: Solve for x
    x = 9,204,996,022.71/111,294.57
  6. Step 6: Final answer
    x = 82,708.40

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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.