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Finding the Fourth Proportional to 111,904.95, 167,685.09 and 51,896.50

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Solution

The fourth proportional to 111,904.95, 167,685.09 and 51,896.50 is: 77,764.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,904.95 : 167,685.09 = 51,896.50 : x
  2. Step 2: Convert to fraction form
    111,904.95/167,685.09 = 51,896.50/x
  3. Step 3: Cross multiply
    111,904.95x = 167,685.09 × 51,896.50
  4. Step 4: Simplify right side
    111,904.95x = 8,702,269,273.19
  5. Step 5: Solve for x
    x = 8,702,269,273.19/111,904.95
  6. Step 6: Final answer
    x = 77,764.83

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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.