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Finding the Fourth Proportional to 217,433.90, 325,843.65 and 160,832.30

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Solution

The fourth proportional to 217,433.90, 325,843.65 and 160,832.30 is: 241,021.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,433.90 : 325,843.65 = 160,832.30 : x
  2. Step 2: Convert to fraction form
    217,433.90/325,843.65 = 160,832.30/x
  3. Step 3: Cross multiply
    217,433.90x = 325,843.65 × 160,832.30
  4. Step 4: Simplify right side
    217,433.90x = 52,406,183,669.90
  5. Step 5: Solve for x
    x = 52,406,183,669.90/217,433.90
  6. Step 6: Final answer
    x = 241,021.22

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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.