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Finding the Fourth Proportional to 150,699.80, 225,855.30 and 115,464.80

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Solution

The fourth proportional to 150,699.80, 225,855.30 and 115,464.80 is: 173,048.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,699.80 : 225,855.30 = 115,464.80 : x
  2. Step 2: Convert to fraction form
    150,699.80/225,855.30 = 115,464.80/x
  3. Step 3: Cross multiply
    150,699.80x = 225,855.30 × 115,464.80
  4. Step 4: Simplify right side
    150,699.80x = 26,078,337,043.44
  5. Step 5: Solve for x
    x = 26,078,337,043.44/150,699.80
  6. Step 6: Final answer
    x = 173,048.25

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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.