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Finding the Fourth Proportional to 122,874.35, 184,377.74 and 51,846.21

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Solution

The fourth proportional to 122,874.35, 184,377.74 and 51,846.21 is: 77,797.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,874.35 : 184,377.74 = 51,846.21 : x
  2. Step 2: Convert to fraction form
    122,874.35/184,377.74 = 51,846.21/x
  3. Step 3: Cross multiply
    122,874.35x = 184,377.74 × 51,846.21
  4. Step 4: Simplify right side
    122,874.35x = 9,559,286,768.13
  5. Step 5: Solve for x
    x = 9,559,286,768.13/122,874.35
  6. Step 6: Final answer
    x = 77,797.26

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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.