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Finding the Fourth Proportional to 216,206.96, 324,458.06 and 75,965.58

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Solution

The fourth proportional to 216,206.96, 324,458.06 and 75,965.58 is: 114,000.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,206.96 : 324,458.06 = 75,965.58 : x
  2. Step 2: Convert to fraction form
    216,206.96/324,458.06 = 75,965.58/x
  3. Step 3: Cross multiply
    216,206.96x = 324,458.06 × 75,965.58
  4. Step 4: Simplify right side
    216,206.96x = 24,647,644,333.75
  5. Step 5: Solve for x
    x = 24,647,644,333.75/216,206.96
  6. Step 6: Final answer
    x = 114,000.24

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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.