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Finding the Fourth Proportional to 150,495.48, 225,780.80 and 106,208.73

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Solution

The fourth proportional to 150,495.48, 225,780.80 and 106,208.73 is: 159,339.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,495.48 : 225,780.80 = 106,208.73 : x
  2. Step 2: Convert to fraction form
    150,495.48/225,780.80 = 106,208.73/x
  3. Step 3: Cross multiply
    150,495.48x = 225,780.80 × 106,208.73
  4. Step 4: Simplify right side
    150,495.48x = 23,979,890,947.37
  5. Step 5: Solve for x
    x = 23,979,890,947.37/150,495.48
  6. Step 6: Final answer
    x = 159,339.61

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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.