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Finding the Fourth Proportional to 301,994.24, 416,741.42 and 166,027.20

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Solution

The fourth proportional to 301,994.24, 416,741.42 and 166,027.20 is: 229,111.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,994.24 : 416,741.42 = 166,027.20 : x
  2. Step 2: Convert to fraction form
    301,994.24/416,741.42 = 166,027.20/x
  3. Step 3: Cross multiply
    301,994.24x = 416,741.42 × 166,027.20
  4. Step 4: Simplify right side
    301,994.24x = 69,190,409,002.92
  5. Step 5: Solve for x
    x = 69,190,409,002.92/301,994.24
  6. Step 6: Final answer
    x = 229,111.69

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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.