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Finding the Fourth Proportional to 123,493.20, 185,326.20 and 53,422.80

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Solution

The fourth proportional to 123,493.20, 185,326.20 and 53,422.80 is: 80,171.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,493.20 : 185,326.20 = 53,422.80 : x
  2. Step 2: Convert to fraction form
    123,493.20/185,326.20 = 53,422.80/x
  3. Step 3: Cross multiply
    123,493.20x = 185,326.20 × 53,422.80
  4. Step 4: Simplify right side
    123,493.20x = 9,900,644,517.36
  5. Step 5: Solve for x
    x = 9,900,644,517.36/123,493.20
  6. Step 6: Final answer
    x = 80,171.58

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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.