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Finding the Fourth Proportional to 381,023.60, 571,331.21 and 128,220.03

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Solution

The fourth proportional to 381,023.60, 571,331.21 and 128,220.03 is: 192,261.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,023.60 : 571,331.21 = 128,220.03 : x
  2. Step 2: Convert to fraction form
    381,023.60/571,331.21 = 128,220.03/x
  3. Step 3: Cross multiply
    381,023.60x = 571,331.21 × 128,220.03
  4. Step 4: Simplify right side
    381,023.60x = 73,256,104,245.04
  5. Step 5: Solve for x
    x = 73,256,104,245.04/381,023.60
  6. Step 6: Final answer
    x = 192,261.33

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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.