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Finding the Fourth Proportional to 216,723.92, 324,864.24 and 74,526.56

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Solution

The fourth proportional to 216,723.92, 324,864.24 and 74,526.56 is: 111,713.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,723.92 : 324,864.24 = 74,526.56 : x
  2. Step 2: Convert to fraction form
    216,723.92/324,864.24 = 74,526.56/x
  3. Step 3: Cross multiply
    216,723.92x = 324,864.24 × 74,526.56
  4. Step 4: Simplify right side
    216,723.92x = 24,211,014,274.21
  5. Step 5: Solve for x
    x = 24,211,014,274.21/216,723.92
  6. Step 6: Final answer
    x = 111,713.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.