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Finding the Fourth Proportional to 261,190.97, 360,290.82 and 164,241.38

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Solution

The fourth proportional to 261,190.97, 360,290.82 and 164,241.38 is: 226,557.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,190.97 : 360,290.82 = 164,241.38 : x
  2. Step 2: Convert to fraction form
    261,190.97/360,290.82 = 164,241.38/x
  3. Step 3: Cross multiply
    261,190.97x = 360,290.82 × 164,241.38
  4. Step 4: Simplify right side
    261,190.97x = 59,174,659,676.68
  5. Step 5: Solve for x
    x = 59,174,659,676.68/261,190.97
  6. Step 6: Final answer
    x = 226,557.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.