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Finding the Fourth Proportional to 203,853.60, 305,780.40 and 54,093.60

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Solution

The fourth proportional to 203,853.60, 305,780.40 and 54,093.60 is: 81,140.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,853.60 : 305,780.40 = 54,093.60 : x
  2. Step 2: Convert to fraction form
    203,853.60/305,780.40 = 54,093.60/x
  3. Step 3: Cross multiply
    203,853.60x = 305,780.40 × 54,093.60
  4. Step 4: Simplify right side
    203,853.60x = 16,540,762,645.44
  5. Step 5: Solve for x
    x = 16,540,762,645.44/203,853.60
  6. Step 6: Final answer
    x = 81,140.40

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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.