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Finding the Fourth Proportional to 216,048, 324,055.68 and 75,816

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Solution

The fourth proportional to 216,048, 324,055.68 and 75,816 is: 113,718.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,048 : 324,055.68 = 75,816 : x
  2. Step 2: Convert to fraction form
    216,048/324,055.68 = 75,816/x
  3. Step 3: Cross multiply
    216,048x = 324,055.68 × 75,816
  4. Step 4: Simplify right side
    216,048x = 24,568,605,434.88
  5. Step 5: Solve for x
    x = 24,568,605,434.88/216,048
  6. Step 6: Final answer
    x = 113,718.27

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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.