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Finding the Fourth Proportional to 150,546.88, 225,791.50 and 75,646.28

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Solution

The fourth proportional to 150,546.88, 225,791.50 and 75,646.28 is: 113,454.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,546.88 : 225,791.50 = 75,646.28 : x
  2. Step 2: Convert to fraction form
    150,546.88/225,791.50 = 75,646.28/x
  3. Step 3: Cross multiply
    150,546.88x = 225,791.50 × 75,646.28
  4. Step 4: Simplify right side
    150,546.88x = 17,080,287,030.62
  5. Step 5: Solve for x
    x = 17,080,287,030.62/150,546.88
  6. Step 6: Final answer
    x = 113,454.94

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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.