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Finding the Fourth Proportional to 103,092.44, 142,074.92 and 80,395.49

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Solution

The fourth proportional to 103,092.44, 142,074.92 and 80,395.49 is: 110,795.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,092.44 : 142,074.92 = 80,395.49 : x
  2. Step 2: Convert to fraction form
    103,092.44/142,074.92 = 80,395.49/x
  3. Step 3: Cross multiply
    103,092.44x = 142,074.92 × 80,395.49
  4. Step 4: Simplify right side
    103,092.44x = 11,422,181,697.76
  5. Step 5: Solve for x
    x = 11,422,181,697.76/103,092.44
  6. Step 6: Final answer
    x = 110,795.54

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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.