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Finding the Fourth Proportional to 180,626.40, 270,939.60 and 109,767.60

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Solution

The fourth proportional to 180,626.40, 270,939.60 and 109,767.60 is: 164,651.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,626.40 : 270,939.60 = 109,767.60 : x
  2. Step 2: Convert to fraction form
    180,626.40/270,939.60 = 109,767.60/x
  3. Step 3: Cross multiply
    180,626.40x = 270,939.60 × 109,767.60
  4. Step 4: Simplify right side
    180,626.40x = 29,740,389,636.96
  5. Step 5: Solve for x
    x = 29,740,389,636.96/180,626.40
  6. Step 6: Final answer
    x = 164,651.40

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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.