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Finding the Fourth Proportional to 142,443.43, 196,596.15 and 82,049.09

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Solution

The fourth proportional to 142,443.43, 196,596.15 and 82,049.09 is: 113,241.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,443.43 : 196,596.15 = 82,049.09 : x
  2. Step 2: Convert to fraction form
    142,443.43/196,596.15 = 82,049.09/x
  3. Step 3: Cross multiply
    142,443.43x = 196,596.15 × 82,049.09
  4. Step 4: Simplify right side
    142,443.43x = 16,130,533,914.34
  5. Step 5: Solve for x
    x = 16,130,533,914.34/142,443.43
  6. Step 6: Final answer
    x = 113,241.69

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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.