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Finding the Fourth Proportional to 184,474.80, 254,575.72 and 107,980

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Solution

The fourth proportional to 184,474.80, 254,575.72 and 107,980 is: 149,012.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,474.80 : 254,575.72 = 107,980 : x
  2. Step 2: Convert to fraction form
    184,474.80/254,575.72 = 107,980/x
  3. Step 3: Cross multiply
    184,474.80x = 254,575.72 × 107,980
  4. Step 4: Simplify right side
    184,474.80x = 27,489,086,245.60
  5. Step 5: Solve for x
    x = 27,489,086,245.60/184,474.80
  6. Step 6: Final answer
    x = 149,012.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.