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Finding the Fourth Proportional to 257,180.80, 385,771.20 and 67,640.80

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Solution

The fourth proportional to 257,180.80, 385,771.20 and 67,640.80 is: 101,461.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,180.80 : 385,771.20 = 67,640.80 : x
  2. Step 2: Convert to fraction form
    257,180.80/385,771.20 = 67,640.80/x
  3. Step 3: Cross multiply
    257,180.80x = 385,771.20 × 67,640.80
  4. Step 4: Simplify right side
    257,180.80x = 26,093,872,584.96
  5. Step 5: Solve for x
    x = 26,093,872,584.96/257,180.80
  6. Step 6: Final answer
    x = 101,461.20

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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.