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Finding the Fourth Proportional to 206,050.73, 308,826.97 and 106,156.42

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Solution

The fourth proportional to 206,050.73, 308,826.97 and 106,156.42 is: 159,106.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,050.73 : 308,826.97 = 106,156.42 : x
  2. Step 2: Convert to fraction form
    206,050.73/308,826.97 = 106,156.42/x
  3. Step 3: Cross multiply
    206,050.73x = 308,826.97 × 106,156.42
  4. Step 4: Simplify right side
    206,050.73x = 32,783,964,497.19
  5. Step 5: Solve for x
    x = 32,783,964,497.19/206,050.73
  6. Step 6: Final answer
    x = 159,106.28

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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.