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Finding the Fourth Proportional to 204,847.64, 307,060.32 and 78,453.44

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Solution

The fourth proportional to 204,847.64, 307,060.32 and 78,453.44 is: 117,599.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,847.64 : 307,060.32 = 78,453.44 : x
  2. Step 2: Convert to fraction form
    204,847.64/307,060.32 = 78,453.44/x
  3. Step 3: Cross multiply
    204,847.64x = 307,060.32 × 78,453.44
  4. Step 4: Simplify right side
    204,847.64x = 24,089,938,391.50
  5. Step 5: Solve for x
    x = 24,089,938,391.50/204,847.64
  6. Step 6: Final answer
    x = 117,599.30

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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.