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Finding the Fourth Proportional to 183,665.69, 275,391.46 and 71,214.54

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Solution

The fourth proportional to 183,665.69, 275,391.46 and 71,214.54 is: 106,780.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,665.69 : 275,391.46 = 71,214.54 : x
  2. Step 2: Convert to fraction form
    183,665.69/275,391.46 = 71,214.54/x
  3. Step 3: Cross multiply
    183,665.69x = 275,391.46 × 71,214.54
  4. Step 4: Simplify right side
    183,665.69x = 19,611,876,143.83
  5. Step 5: Solve for x
    x = 19,611,876,143.83/183,665.69
  6. Step 6: Final answer
    x = 106,780.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.