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Finding the Fourth Proportional to 254,076.80, 350,647.52 and 140,936

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Solution

The fourth proportional to 254,076.80, 350,647.52 and 140,936 is: 194,503.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,076.80 : 350,647.52 = 140,936 : x
  2. Step 2: Convert to fraction form
    254,076.80/350,647.52 = 140,936/x
  3. Step 3: Cross multiply
    254,076.80x = 350,647.52 × 140,936
  4. Step 4: Simplify right side
    254,076.80x = 49,418,858,878.72
  5. Step 5: Solve for x
    x = 49,418,858,878.72/254,076.80
  6. Step 6: Final answer
    x = 194,503.63

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