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Finding the Fourth Proportional to 337,121.50, 465,241.24 and 193,881.50

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Solution

The fourth proportional to 337,121.50, 465,241.24 and 193,881.50 is: 267,564.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,121.50 : 465,241.24 = 193,881.50 : x
  2. Step 2: Convert to fraction form
    337,121.50/465,241.24 = 193,881.50/x
  3. Step 3: Cross multiply
    337,121.50x = 465,241.24 × 193,881.50
  4. Step 4: Simplify right side
    337,121.50x = 90,201,669,473.06
  5. Step 5: Solve for x
    x = 90,201,669,473.06/337,121.50
  6. Step 6: Final answer
    x = 267,564.27

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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.