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Finding the Fourth Proportional to 142,674.84, 196,890.86 and 82,245.15

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Solution

The fourth proportional to 142,674.84, 196,890.86 and 82,245.15 is: 113,498.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,674.84 : 196,890.86 = 82,245.15 : x
  2. Step 2: Convert to fraction form
    142,674.84/196,890.86 = 82,245.15/x
  3. Step 3: Cross multiply
    142,674.84x = 196,890.86 × 82,245.15
  4. Step 4: Simplify right side
    142,674.84x = 16,193,318,519.94
  5. Step 5: Solve for x
    x = 16,193,318,519.94/142,674.84
  6. Step 6: Final answer
    x = 113,498.07

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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.