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Finding the Fourth Proportional to 146,453.49, 202,093.25 and 85,211.01

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Solution

The fourth proportional to 146,453.49, 202,093.25 and 85,211.01 is: 117,583.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,453.49 : 202,093.25 = 85,211.01 : x
  2. Step 2: Convert to fraction form
    146,453.49/202,093.25 = 85,211.01/x
  3. Step 3: Cross multiply
    146,453.49x = 202,093.25 × 85,211.01
  4. Step 4: Simplify right side
    146,453.49x = 17,220,569,520.63
  5. Step 5: Solve for x
    x = 17,220,569,520.63/146,453.49
  6. Step 6: Final answer
    x = 117,583.88

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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.