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Finding the Fourth Proportional to 122,408.20, 183,644.70 and 43,514.20

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Solution

The fourth proportional to 122,408.20, 183,644.70 and 43,514.20 is: 65,282.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,408.20 : 183,644.70 = 43,514.20 : x
  2. Step 2: Convert to fraction form
    122,408.20/183,644.70 = 43,514.20/x
  3. Step 3: Cross multiply
    122,408.20x = 183,644.70 × 43,514.20
  4. Step 4: Simplify right side
    122,408.20x = 7,991,152,204.74
  5. Step 5: Solve for x
    x = 7,991,152,204.74/122,408.20
  6. Step 6: Final answer
    x = 65,282.82

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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.