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Finding the Fourth Proportional to 120,189.38, 180,325.67 and 45,330.98

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Solution

The fourth proportional to 120,189.38, 180,325.67 and 45,330.98 is: 68,012.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,189.38 : 180,325.67 = 45,330.98 : x
  2. Step 2: Convert to fraction form
    120,189.38/180,325.67 = 45,330.98/x
  3. Step 3: Cross multiply
    120,189.38x = 180,325.67 × 45,330.98
  4. Step 4: Simplify right side
    120,189.38x = 8,174,338,211.97
  5. Step 5: Solve for x
    x = 8,174,338,211.97/120,189.38
  6. Step 6: Final answer
    x = 68,012.15

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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.