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Finding the Fourth Proportional to 100,109.44, 150,208.16 and 37,765.36

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Solution

The fourth proportional to 100,109.44, 150,208.16 and 37,765.36 is: 56,664.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,109.44 : 150,208.16 = 37,765.36 : x
  2. Step 2: Convert to fraction form
    100,109.44/150,208.16 = 37,765.36/x
  3. Step 3: Cross multiply
    100,109.44x = 150,208.16 × 37,765.36
  4. Step 4: Simplify right side
    100,109.44x = 5,672,665,237.34
  5. Step 5: Solve for x
    x = 5,672,665,237.34/100,109.44
  6. Step 6: Final answer
    x = 56,664.64

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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.