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Finding the Fourth Proportional to 216,217.68, 324,343.80 and 76,007.76

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Solution

The fourth proportional to 216,217.68, 324,343.80 and 76,007.76 is: 114,017.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,217.68 : 324,343.80 = 76,007.76 : x
  2. Step 2: Convert to fraction form
    216,217.68/324,343.80 = 76,007.76/x
  3. Step 3: Cross multiply
    216,217.68x = 324,343.80 × 76,007.76
  4. Step 4: Simplify right side
    216,217.68x = 24,652,645,707.89
  5. Step 5: Solve for x
    x = 24,652,645,707.89/216,217.68
  6. Step 6: Final answer
    x = 114,017.71

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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.