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Finding the Fourth Proportional to 180,238.69, 270,399.01 and 95,954.43

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Solution

The fourth proportional to 180,238.69, 270,399.01 and 95,954.43 is: 143,953.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,238.69 : 270,399.01 = 95,954.43 : x
  2. Step 2: Convert to fraction form
    180,238.69/270,399.01 = 95,954.43/x
  3. Step 3: Cross multiply
    180,238.69x = 270,399.01 × 95,954.43
  4. Step 4: Simplify right side
    180,238.69x = 25,945,982,877.11
  5. Step 5: Solve for x
    x = 25,945,982,877.11/180,238.69
  6. Step 6: Final answer
    x = 143,953.46

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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.