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Finding the Fourth Proportional to 295,129.96, 407,278.50 and 160,993

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Solution

The fourth proportional to 295,129.96, 407,278.50 and 160,993 is: 222,169.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,129.96 : 407,278.50 = 160,993 : x
  2. Step 2: Convert to fraction form
    295,129.96/407,278.50 = 160,993/x
  3. Step 3: Cross multiply
    295,129.96x = 407,278.50 × 160,993
  4. Step 4: Simplify right side
    295,129.96x = 65,568,987,550.50
  5. Step 5: Solve for x
    x = 65,568,987,550.50/295,129.96
  6. Step 6: Final answer
    x = 222,169.88

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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.