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Finding the Fourth Proportional to 122,868.06, 184,310.46 and 41,782.06

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Solution

The fourth proportional to 122,868.06, 184,310.46 and 41,782.06 is: 62,675.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,868.06 : 184,310.46 = 41,782.06 : x
  2. Step 2: Convert to fraction form
    122,868.06/184,310.46 = 41,782.06/x
  3. Step 3: Cross multiply
    122,868.06x = 184,310.46 × 41,782.06
  4. Step 4: Simplify right side
    122,868.06x = 7,700,870,698.35
  5. Step 5: Solve for x
    x = 7,700,870,698.35/122,868.06
  6. Step 6: Final answer
    x = 62,675.94

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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.