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Finding the Fourth Proportional to 301,981.09, 416,735.27 and 166,027.05

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Solution

The fourth proportional to 301,981.09, 416,735.27 and 166,027.05 is: 229,118.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,981.09 : 416,735.27 = 166,027.05 : x
  2. Step 2: Convert to fraction form
    301,981.09/416,735.27 = 166,027.05/x
  3. Step 3: Cross multiply
    301,981.09x = 416,735.27 × 166,027.05
  4. Step 4: Simplify right side
    301,981.09x = 69,189,327,509.05
  5. Step 5: Solve for x
    x = 69,189,327,509.05/301,981.09
  6. Step 6: Final answer
    x = 229,118.08

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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.