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Finding the Fourth Proportional to 188,814.20, 283,221.30 and 180,724.60

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Solution

The fourth proportional to 188,814.20, 283,221.30 and 180,724.60 is: 271,086.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,814.20 : 283,221.30 = 180,724.60 : x
  2. Step 2: Convert to fraction form
    188,814.20/283,221.30 = 180,724.60/x
  3. Step 3: Cross multiply
    188,814.20x = 283,221.30 × 180,724.60
  4. Step 4: Simplify right side
    188,814.20x = 51,185,056,153.98
  5. Step 5: Solve for x
    x = 51,185,056,153.98/188,814.20
  6. Step 6: Final answer
    x = 271,086.90

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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.