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Finding the Fourth Proportional to 161,471.36, 222,861.30 and 106,927.38

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Solution

The fourth proportional to 161,471.36, 222,861.30 and 106,927.38 is: 147,580.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,471.36 : 222,861.30 = 106,927.38 : x
  2. Step 2: Convert to fraction form
    161,471.36/222,861.30 = 106,927.38/x
  3. Step 3: Cross multiply
    161,471.36x = 222,861.30 × 106,927.38
  4. Step 4: Simplify right side
    161,471.36x = 23,829,974,912.39
  5. Step 5: Solve for x
    x = 23,829,974,912.39/161,471.36
  6. Step 6: Final answer
    x = 147,580.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.