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Finding the Fourth Proportional to 122,744.88, 184,042.80 and 80,082

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Solution

The fourth proportional to 122,744.88, 184,042.80 and 80,082 is: 120,074.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,744.88 : 184,042.80 = 80,082 : x
  2. Step 2: Convert to fraction form
    122,744.88/184,042.80 = 80,082/x
  3. Step 3: Cross multiply
    122,744.88x = 184,042.80 × 80,082
  4. Step 4: Simplify right side
    122,744.88x = 14,738,515,509.60
  5. Step 5: Solve for x
    x = 14,738,515,509.60/122,744.88
  6. Step 6: Final answer
    x = 120,074.38

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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.