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Finding the Fourth Proportional to 262,882.80, 394,583.40 and 129,913.20

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Solution

The fourth proportional to 262,882.80, 394,583.40 and 129,913.20 is: 194,997.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,882.80 : 394,583.40 = 129,913.20 : x
  2. Step 2: Convert to fraction form
    262,882.80/394,583.40 = 129,913.20/x
  3. Step 3: Cross multiply
    262,882.80x = 394,583.40 × 129,913.20
  4. Step 4: Simplify right side
    262,882.80x = 51,261,592,160.88
  5. Step 5: Solve for x
    x = 51,261,592,160.88/262,882.80
  6. Step 6: Final answer
    x = 194,997.89

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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.