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Finding the Fourth Proportional to 205,694.65, 308,580.60 and 93,382.79

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Solution

The fourth proportional to 205,694.65, 308,580.60 and 93,382.79 is: 140,091.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,694.65 : 308,580.60 = 93,382.79 : x
  2. Step 2: Convert to fraction form
    205,694.65/308,580.60 = 93,382.79/x
  3. Step 3: Cross multiply
    205,694.65x = 308,580.60 × 93,382.79
  4. Step 4: Simplify right side
    205,694.65x = 28,816,116,175.16
  5. Step 5: Solve for x
    x = 28,816,116,175.16/205,694.65
  6. Step 6: Final answer
    x = 140,091.71

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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.