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Finding the Fourth Proportional to 217,880.80, 325,946.40 and 188,623.60

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Solution

The fourth proportional to 217,880.80, 325,946.40 and 188,623.60 is: 282,178.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,880.80 : 325,946.40 = 188,623.60 : x
  2. Step 2: Convert to fraction form
    217,880.80/325,946.40 = 188,623.60/x
  3. Step 3: Cross multiply
    217,880.80x = 325,946.40 × 188,623.60
  4. Step 4: Simplify right side
    217,880.80x = 61,481,183,375.04
  5. Step 5: Solve for x
    x = 61,481,183,375.04/217,880.80
  6. Step 6: Final answer
    x = 282,178.07

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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.