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Finding the Fourth Proportional to 120,553.44, 180,793.23 and 83,352.57

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Solution

The fourth proportional to 120,553.44, 180,793.23 and 83,352.57 is: 125,003.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,553.44 : 180,793.23 = 83,352.57 : x
  2. Step 2: Convert to fraction form
    120,553.44/180,793.23 = 83,352.57/x
  3. Step 3: Cross multiply
    120,553.44x = 180,793.23 × 83,352.57
  4. Step 4: Simplify right side
    120,553.44x = 15,069,579,455.14
  5. Step 5: Solve for x
    x = 15,069,579,455.14/120,553.44
  6. Step 6: Final answer
    x = 125,003.32

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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.