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Finding the Fourth Proportional to 301,972.01, 416,729.43 and 164,160.23

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Solution

The fourth proportional to 301,972.01, 416,729.43 and 164,160.23 is: 226,545.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,972.01 : 416,729.43 = 164,160.23 : x
  2. Step 2: Convert to fraction form
    301,972.01/416,729.43 = 164,160.23/x
  3. Step 3: Cross multiply
    301,972.01x = 416,729.43 × 164,160.23
  4. Step 4: Simplify right side
    301,972.01x = 68,410,396,992.92
  5. Step 5: Solve for x
    x = 68,410,396,992.92/301,972.01
  6. Step 6: Final answer
    x = 226,545.49

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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.