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Finding the Fourth Proportional to 122,974.40, 184,461.60 and 111,893.60

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Solution

The fourth proportional to 122,974.40, 184,461.60 and 111,893.60 is: 167,840.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,974.40 : 184,461.60 = 111,893.60 : x
  2. Step 2: Convert to fraction form
    122,974.40/184,461.60 = 111,893.60/x
  3. Step 3: Cross multiply
    122,974.40x = 184,461.60 × 111,893.60
  4. Step 4: Simplify right side
    122,974.40x = 20,640,072,485.76
  5. Step 5: Solve for x
    x = 20,640,072,485.76/122,974.40
  6. Step 6: Final answer
    x = 167,840.40

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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.