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Finding the Fourth Proportional to 128,564.44, 177,418.96 and 71,977.03

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Solution

The fourth proportional to 128,564.44, 177,418.96 and 71,977.03 is: 99,328.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,564.44 : 177,418.96 = 71,977.03 : x
  2. Step 2: Convert to fraction form
    128,564.44/177,418.96 = 71,977.03/x
  3. Step 3: Cross multiply
    128,564.44x = 177,418.96 × 71,977.03
  4. Step 4: Simplify right side
    128,564.44x = 12,770,089,183.00
  5. Step 5: Solve for x
    x = 12,770,089,183.00/128,564.44
  6. Step 6: Final answer
    x = 99,328.32

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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.