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Finding the Fourth Proportional to 150,188.69, 225,247.44 and 55,367.36

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Solution

The fourth proportional to 150,188.69, 225,247.44 and 55,367.36 is: 83,037.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,188.69 : 225,247.44 = 55,367.36 : x
  2. Step 2: Convert to fraction form
    150,188.69/225,247.44 = 55,367.36/x
  3. Step 3: Cross multiply
    150,188.69x = 225,247.44 × 55,367.36
  4. Step 4: Simplify right side
    150,188.69x = 12,471,354,973.32
  5. Step 5: Solve for x
    x = 12,471,354,973.32/150,188.69
  6. Step 6: Final answer
    x = 83,037.91

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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.