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Finding the Fourth Proportional to 206,321.60, 309,190.80 and 127,200.80

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Solution

The fourth proportional to 206,321.60, 309,190.80 and 127,200.80 is: 190,621.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,321.60 : 309,190.80 = 127,200.80 : x
  2. Step 2: Convert to fraction form
    206,321.60/309,190.80 = 127,200.80/x
  3. Step 3: Cross multiply
    206,321.60x = 309,190.80 × 127,200.80
  4. Step 4: Simplify right side
    206,321.60x = 39,329,317,112.64
  5. Step 5: Solve for x
    x = 39,329,317,112.64/206,321.60
  6. Step 6: Final answer
    x = 190,621.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.