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Finding the Fourth Proportional to 206,196.20, 288,052.60 and 206,196.20

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Solution

The fourth proportional to 206,196.20, 288,052.60 and 206,196.20 is: 288,052.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,196.20 : 288,052.60 = 206,196.20 : x
  2. Step 2: Convert to fraction form
    206,196.20/288,052.60 = 206,196.20/x
  3. Step 3: Cross multiply
    206,196.20x = 288,052.60 × 206,196.20
  4. Step 4: Simplify right side
    206,196.20x = 59,395,351,520.12
  5. Step 5: Solve for x
    x = 59,395,351,520.12/206,196.20
  6. Step 6: Final answer
    x = 288,052.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.