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Finding the Fourth Proportional to 220,993.51, 304,971.06 and 120,391.51

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Solution

The fourth proportional to 220,993.51, 304,971.06 and 120,391.51 is: 166,140.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,993.51 : 304,971.06 = 120,391.51 : x
  2. Step 2: Convert to fraction form
    220,993.51/304,971.06 = 120,391.51/x
  3. Step 3: Cross multiply
    220,993.51x = 304,971.06 × 120,391.51
  4. Step 4: Simplify right side
    220,993.51x = 36,715,926,419.70
  5. Step 5: Solve for x
    x = 36,715,926,419.70/220,993.51
  6. Step 6: Final answer
    x = 166,140.29

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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.