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Finding the Fourth Proportional to 222,387.33, 306,895.08 and 120,414.01

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Solution

The fourth proportional to 222,387.33, 306,895.08 and 120,414.01 is: 166,171.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,387.33 : 306,895.08 = 120,414.01 : x
  2. Step 2: Convert to fraction form
    222,387.33/306,895.08 = 120,414.01/x
  3. Step 3: Cross multiply
    222,387.33x = 306,895.08 × 120,414.01
  4. Step 4: Simplify right side
    222,387.33x = 36,954,467,232.07
  5. Step 5: Solve for x
    x = 36,954,467,232.07/222,387.33
  6. Step 6: Final answer
    x = 166,171.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.