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Finding the Fourth Proportional to 279,734.97, 419,968.32 and 166,090.23

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Solution

The fourth proportional to 279,734.97, 419,968.32 and 166,090.23 is: 249,352.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,734.97 : 419,968.32 = 166,090.23 : x
  2. Step 2: Convert to fraction form
    279,734.97/419,968.32 = 166,090.23/x
  3. Step 3: Cross multiply
    279,734.97x = 419,968.32 × 166,090.23
  4. Step 4: Simplify right side
    279,734.97x = 69,752,634,861.51
  5. Step 5: Solve for x
    x = 69,752,634,861.51/279,734.97
  6. Step 6: Final answer
    x = 249,352.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.