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Finding the Fourth Proportional to 206,190.72, 309,405.12 and 111,421.20

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Solution

The fourth proportional to 206,190.72, 309,405.12 and 111,421.20 is: 167,196.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,190.72 : 309,405.12 = 111,421.20 : x
  2. Step 2: Convert to fraction form
    206,190.72/309,405.12 = 111,421.20/x
  3. Step 3: Cross multiply
    206,190.72x = 309,405.12 × 111,421.20
  4. Step 4: Simplify right side
    206,190.72x = 34,474,289,756.54
  5. Step 5: Solve for x
    x = 34,474,289,756.54/206,190.72
  6. Step 6: Final answer
    x = 167,196.13

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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.