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Finding the Fourth Proportional to 180,702.54, 270,922.29 and 75,551.34

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Solution

The fourth proportional to 180,702.54, 270,922.29 and 75,551.34 is: 113,272.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,702.54 : 270,922.29 = 75,551.34 : x
  2. Step 2: Convert to fraction form
    180,702.54/270,922.29 = 75,551.34/x
  3. Step 3: Cross multiply
    180,702.54x = 270,922.29 × 75,551.34
  4. Step 4: Simplify right side
    180,702.54x = 20,468,542,045.37
  5. Step 5: Solve for x
    x = 20,468,542,045.37/180,702.54
  6. Step 6: Final answer
    x = 113,272.02

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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.