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Finding the Fourth Proportional to 193,581, 290,382.44 and 68,922

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Solution

The fourth proportional to 193,581, 290,382.44 and 68,922 is: 103,386.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,581 : 290,382.44 = 68,922 : x
  2. Step 2: Convert to fraction form
    193,581/290,382.44 = 68,922/x
  3. Step 3: Cross multiply
    193,581x = 290,382.44 × 68,922
  4. Step 4: Simplify right side
    193,581x = 20,013,738,185.07
  5. Step 5: Solve for x
    x = 20,013,738,185.07/193,581
  6. Step 6: Final answer
    x = 103,386.89

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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.