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Finding the Fourth Proportional to 269,761.96, 404,694.97 and 103,537

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Solution

The fourth proportional to 269,761.96, 404,694.97 and 103,537 is: 155,325.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,761.96 : 404,694.97 = 103,537 : x
  2. Step 2: Convert to fraction form
    269,761.96/404,694.97 = 103,537/x
  3. Step 3: Cross multiply
    269,761.96x = 404,694.97 × 103,537
  4. Step 4: Simplify right side
    269,761.96x = 41,900,903,108.89
  5. Step 5: Solve for x
    x = 41,900,903,108.89/269,761.96
  6. Step 6: Final answer
    x = 155,325.47

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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.