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Finding the Fourth Proportional to 259,553.20, 389,256.90 and 82,114.60

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Solution

The fourth proportional to 259,553.20, 389,256.90 and 82,114.60 is: 123,148.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,553.20 : 389,256.90 = 82,114.60 : x
  2. Step 2: Convert to fraction form
    259,553.20/389,256.90 = 82,114.60/x
  3. Step 3: Cross multiply
    259,553.20x = 389,256.90 × 82,114.60
  4. Step 4: Simplify right side
    259,553.20x = 31,963,674,640.74
  5. Step 5: Solve for x
    x = 31,963,674,640.74/259,553.20
  6. Step 6: Final answer
    x = 123,148.84

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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.