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Finding the Fourth Proportional to 180,700.67, 270,826.09 and 116,489.49

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Solution

The fourth proportional to 180,700.67, 270,826.09 and 116,489.49 is: 174,589.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,700.67 : 270,826.09 = 116,489.49 : x
  2. Step 2: Convert to fraction form
    180,700.67/270,826.09 = 116,489.49/x
  3. Step 3: Cross multiply
    180,700.67x = 270,826.09 × 116,489.49
  4. Step 4: Simplify right side
    180,700.67x = 31,548,393,102.79
  5. Step 5: Solve for x
    x = 31,548,393,102.79/180,700.67
  6. Step 6: Final answer
    x = 174,589.24

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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.