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Finding the Fourth Proportional to 204,527.89, 306,770.37 and 54,783.64

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Solution

The fourth proportional to 204,527.89, 306,770.37 and 54,783.64 is: 82,169.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,527.89 : 306,770.37 = 54,783.64 : x
  2. Step 2: Convert to fraction form
    204,527.89/306,770.37 = 54,783.64/x
  3. Step 3: Cross multiply
    204,527.89x = 306,770.37 × 54,783.64
  4. Step 4: Simplify right side
    204,527.89x = 16,805,997,512.75
  5. Step 5: Solve for x
    x = 16,805,997,512.75/204,527.89
  6. Step 6: Final answer
    x = 82,169.71

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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.