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Finding the Fourth Proportional to 120,156.75, 180,245.37 and 31,410.11

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Solution

The fourth proportional to 120,156.75, 180,245.37 and 31,410.11 is: 47,117.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,156.75 : 180,245.37 = 31,410.11 : x
  2. Step 2: Convert to fraction form
    120,156.75/180,245.37 = 31,410.11/x
  3. Step 3: Cross multiply
    120,156.75x = 180,245.37 × 31,410.11
  4. Step 4: Simplify right side
    120,156.75x = 5,661,526,977.22
  5. Step 5: Solve for x
    x = 5,661,526,977.22/120,156.75
  6. Step 6: Final answer
    x = 47,117.84

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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.