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Finding the Fourth Proportional to 142,991.73, 197,357.31 and 82,572.21

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Solution

The fourth proportional to 142,991.73, 197,357.31 and 82,572.21 is: 113,966.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,991.73 : 197,357.31 = 82,572.21 : x
  2. Step 2: Convert to fraction form
    142,991.73/197,357.31 = 82,572.21/x
  3. Step 3: Cross multiply
    142,991.73x = 197,357.31 × 82,572.21
  4. Step 4: Simplify right side
    142,991.73x = 16,296,229,246.36
  5. Step 5: Solve for x
    x = 16,296,229,246.36/142,991.73
  6. Step 6: Final answer
    x = 113,966.24

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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.