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Finding the Fourth Proportional to 301,990.25, 416,735.93 and 166,023.21

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Solution

The fourth proportional to 301,990.25, 416,735.93 and 166,023.21 is: 229,106.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,990.25 : 416,735.93 = 166,023.21 : x
  2. Step 2: Convert to fraction form
    301,990.25/416,735.93 = 166,023.21/x
  3. Step 3: Cross multiply
    301,990.25x = 416,735.93 × 166,023.21
  4. Step 4: Simplify right side
    301,990.25x = 69,187,836,820.94
  5. Step 5: Solve for x
    x = 69,187,836,820.94/301,990.25
  6. Step 6: Final answer
    x = 229,106.19

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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.