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Finding the Fourth Proportional to 180,667.70, 270,892.10 and 80,809.28

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Solution

The fourth proportional to 180,667.70, 270,892.10 and 80,809.28 is: 121,164.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,667.70 : 270,892.10 = 80,809.28 : x
  2. Step 2: Convert to fraction form
    180,667.70/270,892.10 = 80,809.28/x
  3. Step 3: Cross multiply
    180,667.70x = 270,892.10 × 80,809.28
  4. Step 4: Simplify right side
    180,667.70x = 21,890,595,558.69
  5. Step 5: Solve for x
    x = 21,890,595,558.69/180,667.70
  6. Step 6: Final answer
    x = 121,164.97

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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.