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Finding the Fourth Proportional to 120,188.30, 180,311.97 and 41,303.66

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Solution

The fourth proportional to 120,188.30, 180,311.97 and 41,303.66 is: 61,965.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,188.30 : 180,311.97 = 41,303.66 : x
  2. Step 2: Convert to fraction form
    120,188.30/180,311.97 = 41,303.66/x
  3. Step 3: Cross multiply
    120,188.30x = 180,311.97 × 41,303.66
  4. Step 4: Simplify right side
    120,188.30x = 7,447,544,302.81
  5. Step 5: Solve for x
    x = 7,447,544,302.81/120,188.30
  6. Step 6: Final answer
    x = 61,965.63

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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.