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Finding the Fourth Proportional to 301,992.84, 416,739.50 and 166,025.81

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Solution

The fourth proportional to 301,992.84, 416,739.50 and 166,025.81 is: 229,109.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,992.84 : 416,739.50 = 166,025.81 : x
  2. Step 2: Convert to fraction form
    301,992.84/416,739.50 = 166,025.81/x
  3. Step 3: Cross multiply
    301,992.84x = 416,739.50 × 166,025.81
  4. Step 4: Simplify right side
    301,992.84x = 69,189,513,046.50
  5. Step 5: Solve for x
    x = 69,189,513,046.50/301,992.84
  6. Step 6: Final answer
    x = 229,109.78

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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.