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Finding the Fourth Proportional to 120,314.55, 180,403.49 and 49,153.88

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Solution

The fourth proportional to 120,314.55, 180,403.49 and 49,153.88 is: 73,702.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,314.55 : 180,403.49 = 49,153.88 : x
  2. Step 2: Convert to fraction form
    120,314.55/180,403.49 = 49,153.88/x
  3. Step 3: Cross multiply
    120,314.55x = 180,403.49 × 49,153.88
  4. Step 4: Simplify right side
    120,314.55x = 8,867,530,474.14
  5. Step 5: Solve for x
    x = 8,867,530,474.14/120,314.55
  6. Step 6: Final answer
    x = 73,702.89

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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.