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Finding the Fourth Proportional to 269,712.75, 404,588.57 and 103,500.75

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Solution

The fourth proportional to 269,712.75, 404,588.57 and 103,500.75 is: 155,258.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,712.75 : 404,588.57 = 103,500.75 : x
  2. Step 2: Convert to fraction form
    269,712.75/404,588.57 = 103,500.75/x
  3. Step 3: Cross multiply
    269,712.75x = 404,588.57 × 103,500.75
  4. Step 4: Simplify right side
    269,712.75x = 41,875,220,436.43
  5. Step 5: Solve for x
    x = 41,875,220,436.43/269,712.75
  6. Step 6: Final answer
    x = 155,258.59

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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.