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Finding the Fourth Proportional to 137,965.34, 190,392.93 and 80,608.03

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Solution

The fourth proportional to 137,965.34, 190,392.93 and 80,608.03 is: 111,239.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,965.34 : 190,392.93 = 80,608.03 : x
  2. Step 2: Convert to fraction form
    137,965.34/190,392.93 = 80,608.03/x
  3. Step 3: Cross multiply
    137,965.34x = 190,392.93 × 80,608.03
  4. Step 4: Simplify right side
    137,965.34x = 15,347,198,537.25
  5. Step 5: Solve for x
    x = 15,347,198,537.25/137,965.34
  6. Step 6: Final answer
    x = 111,239.52

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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.