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Finding the Fourth Proportional to 120,517.80, 180,703.80 and 53,945.52

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Solution

The fourth proportional to 120,517.80, 180,703.80 and 53,945.52 is: 80,885.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,517.80 : 180,703.80 = 53,945.52 : x
  2. Step 2: Convert to fraction form
    120,517.80/180,703.80 = 53,945.52/x
  3. Step 3: Cross multiply
    120,517.80x = 180,703.80 × 53,945.52
  4. Step 4: Simplify right side
    120,517.80x = 9,748,160,456.98
  5. Step 5: Solve for x
    x = 9,748,160,456.98/120,517.80
  6. Step 6: Final answer
    x = 80,885.65

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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.