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Finding the Fourth Proportional to 143,046.59, 197,358.63 and 82,609.25

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Solution

The fourth proportional to 143,046.59, 197,358.63 and 82,609.25 is: 113,974.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,046.59 : 197,358.63 = 82,609.25 : x
  2. Step 2: Convert to fraction form
    143,046.59/197,358.63 = 82,609.25/x
  3. Step 3: Cross multiply
    143,046.59x = 197,358.63 × 82,609.25
  4. Step 4: Simplify right side
    143,046.59x = 16,303,648,405.33
  5. Step 5: Solve for x
    x = 16,303,648,405.33/143,046.59
  6. Step 6: Final answer
    x = 113,974.39

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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.