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Finding the Fourth Proportional to 289,162.80, 433,722.60 and 120,639.60

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Solution

The fourth proportional to 289,162.80, 433,722.60 and 120,639.60 is: 180,950.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,162.80 : 433,722.60 = 120,639.60 : x
  2. Step 2: Convert to fraction form
    289,162.80/433,722.60 = 120,639.60/x
  3. Step 3: Cross multiply
    289,162.80x = 433,722.60 × 120,639.60
  4. Step 4: Simplify right side
    289,162.80x = 52,324,120,974.96
  5. Step 5: Solve for x
    x = 52,324,120,974.96/289,162.80
  6. Step 6: Final answer
    x = 180,950.39

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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.