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Finding the Fourth Proportional to 120,174.09, 180,273.50 and 45,357.23

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Solution

The fourth proportional to 120,174.09, 180,273.50 and 45,357.23 is: 68,040.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,174.09 : 180,273.50 = 45,357.23 : x
  2. Step 2: Convert to fraction form
    120,174.09/180,273.50 = 45,357.23/x
  3. Step 3: Cross multiply
    120,174.09x = 180,273.50 × 45,357.23
  4. Step 4: Simplify right side
    120,174.09x = 8,176,705,474.25
  5. Step 5: Solve for x
    x = 8,176,705,474.25/120,174.09
  6. Step 6: Final answer
    x = 68,040.50

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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.