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Finding the Fourth Proportional to 120,291.33, 180,435.11 and 41,406.24

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Solution

The fourth proportional to 120,291.33, 180,435.11 and 41,406.24 is: 62,108.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,291.33 : 180,435.11 = 41,406.24 : x
  2. Step 2: Convert to fraction form
    120,291.33/180,435.11 = 41,406.24/x
  3. Step 3: Cross multiply
    120,291.33x = 180,435.11 × 41,406.24
  4. Step 4: Simplify right side
    120,291.33x = 7,471,139,262.06
  5. Step 5: Solve for x
    x = 7,471,139,262.06/120,291.33
  6. Step 6: Final answer
    x = 62,108.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.