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Finding the Fourth Proportional to 122,855.67, 184,647.06 and 101,931.48

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Solution

The fourth proportional to 122,855.67, 184,647.06 and 101,931.48 is: 153,198.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,855.67 : 184,647.06 = 101,931.48 : x
  2. Step 2: Convert to fraction form
    122,855.67/184,647.06 = 101,931.48/x
  3. Step 3: Cross multiply
    122,855.67x = 184,647.06 × 101,931.48
  4. Step 4: Simplify right side
    122,855.67x = 18,821,348,103.45
  5. Step 5: Solve for x
    x = 18,821,348,103.45/122,855.67
  6. Step 6: Final answer
    x = 153,198.86

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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.