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Finding the Fourth Proportional to 262,882.36, 362,777.82 and 142,023.57

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Solution

The fourth proportional to 262,882.36, 362,777.82 and 142,023.57 is: 195,992.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,882.36 : 362,777.82 = 142,023.57 : x
  2. Step 2: Convert to fraction form
    262,882.36/362,777.82 = 142,023.57/x
  3. Step 3: Cross multiply
    262,882.36x = 362,777.82 × 142,023.57
  4. Step 4: Simplify right side
    262,882.36x = 51,523,001,113.22
  5. Step 5: Solve for x
    x = 51,523,001,113.22/262,882.36
  6. Step 6: Final answer
    x = 195,992.62

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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.