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Finding the Fourth Proportional to 206,713.70, 310,070.55 and 180,469.70

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Solution

The fourth proportional to 206,713.70, 310,070.55 and 180,469.70 is: 270,704.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,713.70 : 310,070.55 = 180,469.70 : x
  2. Step 2: Convert to fraction form
    206,713.70/310,070.55 = 180,469.70/x
  3. Step 3: Cross multiply
    206,713.70x = 310,070.55 × 180,469.70
  4. Step 4: Simplify right side
    206,713.70x = 55,958,339,137.34
  5. Step 5: Solve for x
    x = 55,958,339,137.34/206,713.70
  6. Step 6: Final answer
    x = 270,704.55

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1.5x scale

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.