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Finding the Fourth Proportional to 120,174.36, 180,262.14 and 31,428.06

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Solution

The fourth proportional to 120,174.36, 180,262.14 and 31,428.06 is: 47,142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,174.36 : 180,262.14 = 31,428.06 : x
  2. Step 2: Convert to fraction form
    120,174.36/180,262.14 = 31,428.06/x
  3. Step 3: Cross multiply
    120,174.36x = 180,262.14 × 31,428.06
  4. Step 4: Simplify right side
    120,174.36x = 5,665,289,351.65
  5. Step 5: Solve for x
    x = 5,665,289,351.65/120,174.36
  6. Step 6: Final answer
    x = 47,142.25

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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.