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Finding the Fourth Proportional to 138,343.94, 190,839.21 and 120,407.30

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Solution

The fourth proportional to 138,343.94, 190,839.21 and 120,407.30 is: 166,096.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,343.94 : 190,839.21 = 120,407.30 : x
  2. Step 2: Convert to fraction form
    138,343.94/190,839.21 = 120,407.30/x
  3. Step 3: Cross multiply
    138,343.94x = 190,839.21 × 120,407.30
  4. Step 4: Simplify right side
    138,343.94x = 22,978,434,010.23
  5. Step 5: Solve for x
    x = 22,978,434,010.23/138,343.94
  6. Step 6: Final answer
    x = 166,096.43

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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.