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Finding the Fourth Proportional to 217,110.40, 325,665.60 and 200,521.60

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Solution

The fourth proportional to 217,110.40, 325,665.60 and 200,521.60 is: 300,782.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,110.40 : 325,665.60 = 200,521.60 : x
  2. Step 2: Convert to fraction form
    217,110.40/325,665.60 = 200,521.60/x
  3. Step 3: Cross multiply
    217,110.40x = 325,665.60 × 200,521.60
  4. Step 4: Simplify right side
    217,110.40x = 65,302,987,176.96
  5. Step 5: Solve for x
    x = 65,302,987,176.96/217,110.40
  6. Step 6: Final answer
    x = 300,782.40

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Why These Related Problems?

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