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Finding the Fourth Proportional to 180,287.50, 269,877.66 and 113,414.52

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Solution

The fourth proportional to 180,287.50, 269,877.66 and 113,414.52 is: 169,773.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,287.50 : 269,877.66 = 113,414.52 : x
  2. Step 2: Convert to fraction form
    180,287.50/269,877.66 = 113,414.52/x
  3. Step 3: Cross multiply
    180,287.50x = 269,877.66 × 113,414.52
  4. Step 4: Simplify right side
    180,287.50x = 30,608,045,267.62
  5. Step 5: Solve for x
    x = 30,608,045,267.62/180,287.50
  6. Step 6: Final answer
    x = 169,773.53

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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.