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Finding the Fourth Proportional to 216,280.85, 324,346.14 and 120,364.43

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Solution

The fourth proportional to 216,280.85, 324,346.14 and 120,364.43 is: 180,504.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,280.85 : 324,346.14 = 120,364.43 : x
  2. Step 2: Convert to fraction form
    216,280.85/324,346.14 = 120,364.43/x
  3. Step 3: Cross multiply
    216,280.85x = 324,346.14 × 120,364.43
  4. Step 4: Simplify right side
    216,280.85x = 39,039,739,074.67
  5. Step 5: Solve for x
    x = 39,039,739,074.67/216,280.85
  6. Step 6: Final answer
    x = 180,504.83

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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.