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Finding the Fourth Proportional to 337,120.81, 465,240.85 and 193,880.96

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Solution

The fourth proportional to 337,120.81, 465,240.85 and 193,880.96 is: 267,563.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,120.81 : 465,240.85 = 193,880.96 : x
  2. Step 2: Convert to fraction form
    337,120.81/465,240.85 = 193,880.96/x
  3. Step 3: Cross multiply
    337,120.81x = 465,240.85 × 193,880.96
  4. Step 4: Simplify right side
    337,120.81x = 90,201,342,629.22
  5. Step 5: Solve for x
    x = 90,201,342,629.22/337,120.81
  6. Step 6: Final answer
    x = 267,563.85

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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.