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Finding the Fourth Proportional to 111,094.73, 166,642.09 and 61,149.12

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Solution

The fourth proportional to 111,094.73, 166,642.09 and 61,149.12 is: 91,723.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,094.73 : 166,642.09 = 61,149.12 : x
  2. Step 2: Convert to fraction form
    111,094.73/166,642.09 = 61,149.12/x
  3. Step 3: Cross multiply
    111,094.73x = 166,642.09 × 61,149.12
  4. Step 4: Simplify right side
    111,094.73x = 10,190,017,158.46
  5. Step 5: Solve for x
    x = 10,190,017,158.46/111,094.73
  6. Step 6: Final answer
    x = 91,723.68

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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.