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Finding the Fourth Proportional to 189,076.48, 283,611.52 and 55,956

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Solution

The fourth proportional to 189,076.48, 283,611.52 and 55,956 is: 83,933.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,076.48 : 283,611.52 = 55,956 : x
  2. Step 2: Convert to fraction form
    189,076.48/283,611.52 = 55,956/x
  3. Step 3: Cross multiply
    189,076.48x = 283,611.52 × 55,956
  4. Step 4: Simplify right side
    189,076.48x = 15,869,766,213.12
  5. Step 5: Solve for x
    x = 15,869,766,213.12/189,076.48
  6. Step 6: Final answer
    x = 83,933.05

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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.