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Finding the Fourth Proportional to 150,682.96, 225,998.41 and 42,619.87

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Solution

The fourth proportional to 150,682.96, 225,998.41 and 42,619.87 is: 63,922.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,682.96 : 225,998.41 = 42,619.87 : x
  2. Step 2: Convert to fraction form
    150,682.96/225,998.41 = 42,619.87/x
  3. Step 3: Cross multiply
    150,682.96x = 225,998.41 × 42,619.87
  4. Step 4: Simplify right side
    150,682.96x = 9,632,021,511.32
  5. Step 5: Solve for x
    x = 9,632,021,511.32/150,682.96
  6. Step 6: Final answer
    x = 63,922.44

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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.