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Finding the Fourth Proportional to 161,205.28, 222,448.08 and 149,316.64

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Solution

The fourth proportional to 161,205.28, 222,448.08 and 149,316.64 is: 206,042.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,205.28 : 222,448.08 = 149,316.64 : x
  2. Step 2: Convert to fraction form
    161,205.28/222,448.08 = 149,316.64/x
  3. Step 3: Cross multiply
    161,205.28x = 222,448.08 × 149,316.64
  4. Step 4: Simplify right side
    161,205.28x = 33,215,199,880.05
  5. Step 5: Solve for x
    x = 33,215,199,880.05/161,205.28
  6. Step 6: Final answer
    x = 206,042.88

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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.