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Finding the Fourth Proportional to 111,664.42, 167,474.36 and 54,713.86

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Solution

The fourth proportional to 111,664.42, 167,474.36 and 54,713.86 is: 82,059.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,664.42 : 167,474.36 = 54,713.86 : x
  2. Step 2: Convert to fraction form
    111,664.42/167,474.36 = 54,713.86/x
  3. Step 3: Cross multiply
    111,664.42x = 167,474.36 × 54,713.86
  4. Step 4: Simplify right side
    111,664.42x = 9,163,168,413.06
  5. Step 5: Solve for x
    x = 9,163,168,413.06/111,664.42
  6. Step 6: Final answer
    x = 82,059.88

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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.