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Finding the Fourth Proportional to 146,850.82, 202,662.14 and 83,201.02

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Solution

The fourth proportional to 146,850.82, 202,662.14 and 83,201.02 is: 114,821.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,850.82 : 202,662.14 = 83,201.02 : x
  2. Step 2: Convert to fraction form
    146,850.82/202,662.14 = 83,201.02/x
  3. Step 3: Cross multiply
    146,850.82x = 202,662.14 × 83,201.02
  4. Step 4: Simplify right side
    146,850.82x = 16,861,695,334.07
  5. Step 5: Solve for x
    x = 16,861,695,334.07/146,850.82
  6. Step 6: Final answer
    x = 114,821.94

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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.