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Finding the Fourth Proportional to 144,258.38, 199,072.89 and 80,596.65

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Solution

The fourth proportional to 144,258.38, 199,072.89 and 80,596.65 is: 111,221.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,258.38 : 199,072.89 = 80,596.65 : x
  2. Step 2: Convert to fraction form
    144,258.38/199,072.89 = 80,596.65/x
  3. Step 3: Cross multiply
    144,258.38x = 199,072.89 × 80,596.65
  4. Step 4: Simplify right side
    144,258.38x = 16,044,608,039.82
  5. Step 5: Solve for x
    x = 16,044,608,039.82/144,258.38
  6. Step 6: Final answer
    x = 111,221.32

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Why These Related Problems?

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