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Finding the Fourth Proportional to 195,971.49, 270,489.65 and 120,476.25

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Solution

The fourth proportional to 195,971.49, 270,489.65 and 120,476.25 is: 166,287.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,971.49 : 270,489.65 = 120,476.25 : x
  2. Step 2: Convert to fraction form
    195,971.49/270,489.65 = 120,476.25/x
  3. Step 3: Cross multiply
    195,971.49x = 270,489.65 × 120,476.25
  4. Step 4: Simplify right side
    195,971.49x = 32,587,578,093.43
  5. Step 5: Solve for x
    x = 32,587,578,093.43/195,971.49
  6. Step 6: Final answer
    x = 166,287.34

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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.