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Finding the Fourth Proportional to 139,997.80, 209,972.40 and 51,205.60

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Solution

The fourth proportional to 139,997.80, 209,972.40 and 51,205.60 is: 76,799.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,997.80 : 209,972.40 = 51,205.60 : x
  2. Step 2: Convert to fraction form
    139,997.80/209,972.40 = 51,205.60/x
  3. Step 3: Cross multiply
    139,997.80x = 209,972.40 × 51,205.60
  4. Step 4: Simplify right side
    139,997.80x = 10,751,762,725.44
  5. Step 5: Solve for x
    x = 10,751,762,725.44/139,997.80
  6. Step 6: Final answer
    x = 76,799.51

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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.