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Finding the Fourth Proportional to 100,200, 150,309.96 and 37,036.68

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Solution

The fourth proportional to 100,200, 150,309.96 and 37,036.68 is: 55,558.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,200 : 150,309.96 = 37,036.68 : x
  2. Step 2: Convert to fraction form
    100,200/150,309.96 = 37,036.68/x
  3. Step 3: Cross multiply
    100,200x = 150,309.96 × 37,036.68
  4. Step 4: Simplify right side
    100,200x = 5,566,981,889.33
  5. Step 5: Solve for x
    x = 5,566,981,889.33/100,200
  6. Step 6: Final answer
    x = 55,558.70

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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.