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Finding the Fourth Proportional to 301,989, 416,734.20 and 166,021.96

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Solution

The fourth proportional to 301,989, 416,734.20 and 166,021.96 is: 229,104.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,989 : 416,734.20 = 166,021.96 : x
  2. Step 2: Convert to fraction form
    301,989/416,734.20 = 166,021.96/x
  3. Step 3: Cross multiply
    301,989x = 416,734.20 × 166,021.96
  4. Step 4: Simplify right side
    301,989x = 69,187,027,641.20
  5. Step 5: Solve for x
    x = 69,187,027,641.20/301,989
  6. Step 6: Final answer
    x = 229,104.46

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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.