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Finding the Fourth Proportional to 150,616.16, 208,066.56 and 120,361.84

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Solution

The fourth proportional to 150,616.16, 208,066.56 and 120,361.84 is: 166,272.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,616.16 : 208,066.56 = 120,361.84 : x
  2. Step 2: Convert to fraction form
    150,616.16/208,066.56 = 120,361.84/x
  3. Step 3: Cross multiply
    150,616.16x = 208,066.56 × 120,361.84
  4. Step 4: Simplify right side
    150,616.16x = 25,043,274,004.07
  5. Step 5: Solve for x
    x = 25,043,274,004.07/150,616.16
  6. Step 6: Final answer
    x = 166,272.16

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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.