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Finding the Fourth Proportional to 120,291.46, 180,435.29 and 41,406.37

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Solution

The fourth proportional to 120,291.46, 180,435.29 and 41,406.37 is: 62,108.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,291.46 : 180,435.29 = 41,406.37 : x
  2. Step 2: Convert to fraction form
    120,291.46/180,435.29 = 41,406.37/x
  3. Step 3: Cross multiply
    120,291.46x = 180,435.29 × 41,406.37
  4. Step 4: Simplify right side
    120,291.46x = 7,471,170,378.80
  5. Step 5: Solve for x
    x = 7,471,170,378.80/120,291.46
  6. Step 6: Final answer
    x = 62,108.90

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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.