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Finding the Fourth Proportional to 216,220.24, 298,402.37 and 120,745.38

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Solution

The fourth proportional to 216,220.24, 298,402.37 and 120,745.38 is: 166,638.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,220.24 : 298,402.37 = 120,745.38 : x
  2. Step 2: Convert to fraction form
    216,220.24/298,402.37 = 120,745.38/x
  3. Step 3: Cross multiply
    216,220.24x = 298,402.37 × 120,745.38
  4. Step 4: Simplify right side
    216,220.24x = 36,030,707,860.41
  5. Step 5: Solve for x
    x = 36,030,707,860.41/216,220.24
  6. Step 6: Final answer
    x = 166,638.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.