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Finding the Fourth Proportional to 209,172.60, 288,664.56 and 128,647.44

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Solution

The fourth proportional to 209,172.60, 288,664.56 and 128,647.44 is: 177,537.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,172.60 : 288,664.56 = 128,647.44 : x
  2. Step 2: Convert to fraction form
    209,172.60/288,664.56 = 128,647.44/x
  3. Step 3: Cross multiply
    209,172.60x = 288,664.56 × 128,647.44
  4. Step 4: Simplify right side
    209,172.60x = 37,135,956,662.73
  5. Step 5: Solve for x
    x = 37,135,956,662.73/209,172.60
  6. Step 6: Final answer
    x = 177,537.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.