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Finding the Fourth Proportional to 205,201.54, 308,269.39 and 148,450.49

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Solution

The fourth proportional to 205,201.54, 308,269.39 and 148,450.49 is: 223,013.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,201.54 : 308,269.39 = 148,450.49 : x
  2. Step 2: Convert to fraction form
    205,201.54/308,269.39 = 148,450.49/x
  3. Step 3: Cross multiply
    205,201.54x = 308,269.39 × 148,450.49
  4. Step 4: Simplify right side
    205,201.54x = 45,762,741,997.50
  5. Step 5: Solve for x
    x = 45,762,741,997.50/205,201.54
  6. Step 6: Final answer
    x = 223,013.64

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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.