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Finding the Fourth Proportional to 206,951.63, 311,810.33 and 186,984.32

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Solution

The fourth proportional to 206,951.63, 311,810.33 and 186,984.32 is: 281,725.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,951.63 : 311,810.33 = 186,984.32 : x
  2. Step 2: Convert to fraction form
    206,951.63/311,810.33 = 186,984.32/x
  3. Step 3: Cross multiply
    206,951.63x = 311,810.33 × 186,984.32
  4. Step 4: Simplify right side
    206,951.63x = 58,303,640,380.65
  5. Step 5: Solve for x
    x = 58,303,640,380.65/206,951.63
  6. Step 6: Final answer
    x = 281,725.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.