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Finding the Fourth Proportional to 180,774.96, 271,161.07 and 54,414.65

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Solution

The fourth proportional to 180,774.96, 271,161.07 and 54,414.65 is: 81,621.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,774.96 : 271,161.07 = 54,414.65 : x
  2. Step 2: Convert to fraction form
    180,774.96/271,161.07 = 54,414.65/x
  3. Step 3: Cross multiply
    180,774.96x = 271,161.07 × 54,414.65
  4. Step 4: Simplify right side
    180,774.96x = 14,755,135,259.54
  5. Step 5: Solve for x
    x = 14,755,135,259.54/180,774.96
  6. Step 6: Final answer
    x = 81,621.57

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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.