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Finding the Fourth Proportional to 206,047.78, 309,187.70 and 111,276.56

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Solution

The fourth proportional to 206,047.78, 309,187.70 and 111,276.56 is: 166,977.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,047.78 : 309,187.70 = 111,276.56 : x
  2. Step 2: Convert to fraction form
    206,047.78/309,187.70 = 111,276.56/x
  3. Step 3: Cross multiply
    206,047.78x = 309,187.70 × 111,276.56
  4. Step 4: Simplify right side
    206,047.78x = 34,405,343,650.31
  5. Step 5: Solve for x
    x = 34,405,343,650.31/206,047.78
  6. Step 6: Final answer
    x = 166,977.50

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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.