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Finding the Fourth Proportional to 146,105.60, 201,631.80 and 82,443.44

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Solution

The fourth proportional to 146,105.60, 201,631.80 and 82,443.44 is: 113,775.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,105.60 : 201,631.80 = 82,443.44 : x
  2. Step 2: Convert to fraction form
    146,105.60/201,631.80 = 82,443.44/x
  3. Step 3: Cross multiply
    146,105.60x = 201,631.80 × 82,443.44
  4. Step 4: Simplify right side
    146,105.60x = 16,623,219,205.39
  5. Step 5: Solve for x
    x = 16,623,219,205.39/146,105.60
  6. Step 6: Final answer
    x = 113,775.37

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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.