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Finding the Fourth Proportional to 120,351.93, 180,520.61 and 31,603.47

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Solution

The fourth proportional to 120,351.93, 180,520.61 and 31,603.47 is: 47,403.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,351.93 : 180,520.61 = 31,603.47 : x
  2. Step 2: Convert to fraction form
    120,351.93/180,520.61 = 31,603.47/x
  3. Step 3: Cross multiply
    120,351.93x = 180,520.61 × 31,603.47
  4. Step 4: Simplify right side
    120,351.93x = 5,705,077,524.50
  5. Step 5: Solve for x
    x = 5,705,077,524.50/120,351.93
  6. Step 6: Final answer
    x = 47,403.29

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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.