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Finding the Fourth Proportional to 138,940.89, 191,736.63 and 78,507.60

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Solution

The fourth proportional to 138,940.89, 191,736.63 and 78,507.60 is: 108,339.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,940.89 : 191,736.63 = 78,507.60 : x
  2. Step 2: Convert to fraction form
    138,940.89/191,736.63 = 78,507.60/x
  3. Step 3: Cross multiply
    138,940.89x = 191,736.63 × 78,507.60
  4. Step 4: Simplify right side
    138,940.89x = 15,052,782,653.39
  5. Step 5: Solve for x
    x = 15,052,782,653.39/138,940.89
  6. Step 6: Final answer
    x = 108,339.47

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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.