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Finding the Fourth Proportional to 110,922.73, 166,259.16 and 54,643.60

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Solution

The fourth proportional to 110,922.73, 166,259.16 and 54,643.60 is: 81,903.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,922.73 : 166,259.16 = 54,643.60 : x
  2. Step 2: Convert to fraction form
    110,922.73/166,259.16 = 54,643.60/x
  3. Step 3: Cross multiply
    110,922.73x = 166,259.16 × 54,643.60
  4. Step 4: Simplify right side
    110,922.73x = 9,084,999,035.38
  5. Step 5: Solve for x
    x = 9,084,999,035.38/110,922.73
  6. Step 6: Final answer
    x = 81,903.85

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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.