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Finding the Fourth Proportional to 234,023.99, 322,954.68 and 143,380.13

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Solution

The fourth proportional to 234,023.99, 322,954.68 and 143,380.13 is: 197,865.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,023.99 : 322,954.68 = 143,380.13 : x
  2. Step 2: Convert to fraction form
    234,023.99/322,954.68 = 143,380.13/x
  3. Step 3: Cross multiply
    234,023.99x = 322,954.68 × 143,380.13
  4. Step 4: Simplify right side
    234,023.99x = 46,305,284,002.51
  5. Step 5: Solve for x
    x = 46,305,284,002.51/234,023.99
  6. Step 6: Final answer
    x = 197,865.54

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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.