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Finding the Fourth Proportional to 148,211.54, 204,532.42 and 80,228.49

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Solution

The fourth proportional to 148,211.54, 204,532.42 and 80,228.49 is: 110,715.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,211.54 : 204,532.42 = 80,228.49 : x
  2. Step 2: Convert to fraction form
    148,211.54/204,532.42 = 80,228.49/x
  3. Step 3: Cross multiply
    148,211.54x = 204,532.42 × 80,228.49
  4. Step 4: Simplify right side
    148,211.54x = 16,409,328,230.36
  5. Step 5: Solve for x
    x = 16,409,328,230.36/148,211.54
  6. Step 6: Final answer
    x = 110,715.59

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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.