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Finding the Fourth Proportional to 205,806.89, 308,765.75 and 105,912.65

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Solution

The fourth proportional to 205,806.89, 308,765.75 and 105,912.65 is: 158,897.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,806.89 : 308,765.75 = 105,912.65 : x
  2. Step 2: Convert to fraction form
    205,806.89/308,765.75 = 105,912.65/x
  3. Step 3: Cross multiply
    205,806.89x = 308,765.75 × 105,912.65
  4. Step 4: Simplify right side
    205,806.89x = 32,702,196,738.35
  5. Step 5: Solve for x
    x = 32,702,196,738.35/205,806.89
  6. Step 6: Final answer
    x = 158,897.49

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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.