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Finding the Fourth Proportional to 111,147.90, 166,715.91 and 31,191.30

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Solution

The fourth proportional to 111,147.90, 166,715.91 and 31,191.30 is: 46,785.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,147.90 : 166,715.91 = 31,191.30 : x
  2. Step 2: Convert to fraction form
    111,147.90/166,715.91 = 31,191.30/x
  3. Step 3: Cross multiply
    111,147.90x = 166,715.91 × 31,191.30
  4. Step 4: Simplify right side
    111,147.90x = 5,200,085,963.58
  5. Step 5: Solve for x
    x = 5,200,085,963.58/111,147.90
  6. Step 6: Final answer
    x = 46,785.28

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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.