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Finding the Fourth Proportional to 275,885.25, 380,709.39 and 161,174.53

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Solution

The fourth proportional to 275,885.25, 380,709.39 and 161,174.53 is: 222,413.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,885.25 : 380,709.39 = 161,174.53 : x
  2. Step 2: Convert to fraction form
    275,885.25/380,709.39 = 161,174.53/x
  3. Step 3: Cross multiply
    275,885.25x = 380,709.39 × 161,174.53
  4. Step 4: Simplify right side
    275,885.25x = 61,360,656,999.84
  5. Step 5: Solve for x
    x = 61,360,656,999.84/275,885.25
  6. Step 6: Final answer
    x = 222,413.69

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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.