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Finding the Fourth Proportional to 105,538.56, 145,629.60 and 60,213.84

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Solution

The fourth proportional to 105,538.56, 145,629.60 and 60,213.84 is: 83,087.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,538.56 : 145,629.60 = 60,213.84 : x
  2. Step 2: Convert to fraction form
    105,538.56/145,629.60 = 60,213.84/x
  3. Step 3: Cross multiply
    105,538.56x = 145,629.60 × 60,213.84
  4. Step 4: Simplify right side
    105,538.56x = 8,768,917,433.66
  5. Step 5: Solve for x
    x = 8,768,917,433.66/105,538.56
  6. Step 6: Final answer
    x = 83,087.33

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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.