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Finding the Fourth Proportional to 199,391.75, 299,086.09 and 49,631.04

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Solution

The fourth proportional to 199,391.75, 299,086.09 and 49,631.04 is: 74,446.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,391.75 : 299,086.09 = 49,631.04 : x
  2. Step 2: Convert to fraction form
    199,391.75/299,086.09 = 49,631.04/x
  3. Step 3: Cross multiply
    199,391.75x = 299,086.09 × 49,631.04
  4. Step 4: Simplify right side
    199,391.75x = 14,843,953,696.23
  5. Step 5: Solve for x
    x = 14,843,953,696.23/199,391.75
  6. Step 6: Final answer
    x = 74,446.18

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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.