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Finding the Fourth Proportional to 269,462.90, 404,083.16 and 91,984.22

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Solution

The fourth proportional to 269,462.90, 404,083.16 and 91,984.22 is: 137,938.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,462.90 : 404,083.16 = 91,984.22 : x
  2. Step 2: Convert to fraction form
    269,462.90/404,083.16 = 91,984.22/x
  3. Step 3: Cross multiply
    269,462.90x = 404,083.16 × 91,984.22
  4. Step 4: Simplify right side
    269,462.90x = 37,169,274,287.74
  5. Step 5: Solve for x
    x = 37,169,274,287.74/269,462.90
  6. Step 6: Final answer
    x = 137,938.37

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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.