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Finding the Fourth Proportional to 120,243.69, 180,315.72 and 45,351.09

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Solution

The fourth proportional to 120,243.69, 180,315.72 and 45,351.09 is: 68,007.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,243.69 : 180,315.72 = 45,351.09 : x
  2. Step 2: Convert to fraction form
    120,243.69/180,315.72 = 45,351.09/x
  3. Step 3: Cross multiply
    120,243.69x = 180,315.72 × 45,351.09
  4. Step 4: Simplify right side
    120,243.69x = 8,177,514,446.13
  5. Step 5: Solve for x
    x = 8,177,514,446.13/120,243.69
  6. Step 6: Final answer
    x = 68,007.85

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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.