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Finding the Fourth Proportional to 206,500.80, 309,232.80 and 197,169.60

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Solution

The fourth proportional to 206,500.80, 309,232.80 and 197,169.60 is: 295,259.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,500.80 : 309,232.80 = 197,169.60 : x
  2. Step 2: Convert to fraction form
    206,500.80/309,232.80 = 197,169.60/x
  3. Step 3: Cross multiply
    206,500.80x = 309,232.80 × 197,169.60
  4. Step 4: Simplify right side
    206,500.80x = 60,971,307,482.88
  5. Step 5: Solve for x
    x = 60,971,307,482.88/206,500.80
  6. Step 6: Final answer
    x = 295,259.43

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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.