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Finding the Fourth Proportional to 148,098.82, 204,163.74 and 105,583.54

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Solution

The fourth proportional to 148,098.82, 204,163.74 and 105,583.54 is: 145,553.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,098.82 : 204,163.74 = 105,583.54 : x
  2. Step 2: Convert to fraction form
    148,098.82/204,163.74 = 105,583.54/x
  3. Step 3: Cross multiply
    148,098.82x = 204,163.74 × 105,583.54
  4. Step 4: Simplify right side
    148,098.82x = 21,556,330,408.84
  5. Step 5: Solve for x
    x = 21,556,330,408.84/148,098.82
  6. Step 6: Final answer
    x = 145,553.69

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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.