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Finding the Fourth Proportional to 150,272.98, 225,409.39 and 37,959.86

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Solution

The fourth proportional to 150,272.98, 225,409.39 and 37,959.86 is: 56,939.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,272.98 : 225,409.39 = 37,959.86 : x
  2. Step 2: Convert to fraction form
    150,272.98/225,409.39 = 37,959.86/x
  3. Step 3: Cross multiply
    150,272.98x = 225,409.39 × 37,959.86
  4. Step 4: Simplify right side
    150,272.98x = 8,556,508,887.09
  5. Step 5: Solve for x
    x = 8,556,508,887.09/150,272.98
  6. Step 6: Final answer
    x = 56,939.77

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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.