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Finding the Fourth Proportional to 262,993.22, 362,932.30 and 142,134.22

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Solution

The fourth proportional to 262,993.22, 362,932.30 and 142,134.22 is: 196,146.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,993.22 : 362,932.30 = 142,134.22 : x
  2. Step 2: Convert to fraction form
    262,993.22/362,932.30 = 142,134.22/x
  3. Step 3: Cross multiply
    262,993.22x = 362,932.30 × 142,134.22
  4. Step 4: Simplify right side
    262,993.22x = 51,585,099,373.31
  5. Step 5: Solve for x
    x = 51,585,099,373.31/262,993.22
  6. Step 6: Final answer
    x = 196,146.12

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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.