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Finding the Fourth Proportional to 206,000.60, 309,231.30 and 192,464.60

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Solution

The fourth proportional to 206,000.60, 309,231.30 and 192,464.60 is: 288,912.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,000.60 : 309,231.30 = 192,464.60 : x
  2. Step 2: Convert to fraction form
    206,000.60/309,231.30 = 192,464.60/x
  3. Step 3: Cross multiply
    206,000.60x = 309,231.30 × 192,464.60
  4. Step 4: Simplify right side
    206,000.60x = 59,516,078,461.98
  5. Step 5: Solve for x
    x = 59,516,078,461.98/206,000.60
  6. Step 6: Final answer
    x = 288,912.16

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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.