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Finding the Fourth Proportional to 295,830.09, 408,245.45 and 161,694.09

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Solution

The fourth proportional to 295,830.09, 408,245.45 and 161,694.09 is: 223,137.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,830.09 : 408,245.45 = 161,694.09 : x
  2. Step 2: Convert to fraction form
    295,830.09/408,245.45 = 161,694.09/x
  3. Step 3: Cross multiply
    295,830.09x = 408,245.45 × 161,694.09
  4. Step 4: Simplify right side
    295,830.09x = 66,010,875,725.92
  5. Step 5: Solve for x
    x = 66,010,875,725.92/295,830.09
  6. Step 6: Final answer
    x = 223,137.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.