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Finding the Fourth Proportional to 164,800.25, 246,945.94 and 111,282.48

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Solution

The fourth proportional to 164,800.25, 246,945.94 and 111,282.48 is: 166,751.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,800.25 : 246,945.94 = 111,282.48 : x
  2. Step 2: Convert to fraction form
    164,800.25/246,945.94 = 111,282.48/x
  3. Step 3: Cross multiply
    164,800.25x = 246,945.94 × 111,282.48
  4. Step 4: Simplify right side
    164,800.25x = 27,480,757,358.44
  5. Step 5: Solve for x
    x = 27,480,757,358.44/164,800.25
  6. Step 6: Final answer
    x = 166,751.92

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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.