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Finding the Fourth Proportional to 122,907.80, 184,396.32 and 111,196.41

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Solution

The fourth proportional to 122,907.80, 184,396.32 and 111,196.41 is: 166,825.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,907.80 : 184,396.32 = 111,196.41 : x
  2. Step 2: Convert to fraction form
    122,907.80/184,396.32 = 111,196.41/x
  3. Step 3: Cross multiply
    122,907.80x = 184,396.32 × 111,196.41
  4. Step 4: Simplify right side
    122,907.80x = 20,504,208,801.21
  5. Step 5: Solve for x
    x = 20,504,208,801.21/122,907.80
  6. Step 6: Final answer
    x = 166,825.94

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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.