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Finding the Fourth Proportional to 269,839.36, 404,685.14 and 101,346.65

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Solution

The fourth proportional to 269,839.36, 404,685.14 and 101,346.65 is: 151,992.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,839.36 : 404,685.14 = 101,346.65 : x
  2. Step 2: Convert to fraction form
    269,839.36/404,685.14 = 101,346.65/x
  3. Step 3: Cross multiply
    269,839.36x = 404,685.14 × 101,346.65
  4. Step 4: Simplify right side
    269,839.36x = 41,013,483,243.78
  5. Step 5: Solve for x
    x = 41,013,483,243.78/269,839.36
  6. Step 6: Final answer
    x = 151,992.22

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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.