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Finding the Fourth Proportional to 120,329.76, 180,533.52 and 50,229.12

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Solution

The fourth proportional to 120,329.76, 180,533.52 and 50,229.12 is: 75,359.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,329.76 : 180,533.52 = 50,229.12 : x
  2. Step 2: Convert to fraction form
    120,329.76/180,533.52 = 50,229.12/x
  3. Step 3: Cross multiply
    120,329.76x = 180,533.52 × 50,229.12
  4. Step 4: Simplify right side
    120,329.76x = 9,068,039,840.10
  5. Step 5: Solve for x
    x = 9,068,039,840.10/120,329.76
  6. Step 6: Final answer
    x = 75,359.91

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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.