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Finding the Fourth Proportional to 262,882.26, 362,777.67 and 142,023.51

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Solution

The fourth proportional to 262,882.26, 362,777.67 and 142,023.51 is: 195,992.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,882.26 : 362,777.67 = 142,023.51 : x
  2. Step 2: Convert to fraction form
    262,882.26/362,777.67 = 142,023.51/x
  3. Step 3: Cross multiply
    262,882.26x = 362,777.67 × 142,023.51
  4. Step 4: Simplify right side
    262,882.26x = 51,522,958,043.02
  5. Step 5: Solve for x
    x = 51,522,958,043.02/262,882.26
  6. Step 6: Final answer
    x = 195,992.53

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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.