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Finding the Fourth Proportional to 206,006.72, 309,124.89 and 111,234.90

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Solution

The fourth proportional to 206,006.72, 309,124.89 and 111,234.90 is: 166,914.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,006.72 : 309,124.89 = 111,234.90 : x
  2. Step 2: Convert to fraction form
    206,006.72/309,124.89 = 111,234.90/x
  3. Step 3: Cross multiply
    206,006.72x = 309,124.89 × 111,234.90
  4. Step 4: Simplify right side
    206,006.72x = 34,385,474,681.04
  5. Step 5: Solve for x
    x = 34,385,474,681.04/206,006.72
  6. Step 6: Final answer
    x = 166,914.34

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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.