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Finding the Fourth Proportional to 111,185.06, 166,816.74 and 73,893.20

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Solution

The fourth proportional to 111,185.06, 166,816.74 and 73,893.20 is: 110,865.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,185.06 : 166,816.74 = 73,893.20 : x
  2. Step 2: Convert to fraction form
    111,185.06/166,816.74 = 73,893.20/x
  3. Step 3: Cross multiply
    111,185.06x = 166,816.74 × 73,893.20
  4. Step 4: Simplify right side
    111,185.06x = 12,326,622,732.17
  5. Step 5: Solve for x
    x = 12,326,622,732.17/111,185.06
  6. Step 6: Final answer
    x = 110,865.82

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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.