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Finding the Fourth Proportional to 216,056, 324,067.68 and 75,824

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Solution

The fourth proportional to 216,056, 324,067.68 and 75,824 is: 113,730.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,056 : 324,067.68 = 75,824 : x
  2. Step 2: Convert to fraction form
    216,056/324,067.68 = 75,824/x
  3. Step 3: Cross multiply
    216,056x = 324,067.68 × 75,824
  4. Step 4: Simplify right side
    216,056x = 24,572,107,768.32
  5. Step 5: Solve for x
    x = 24,572,107,768.32/216,056
  6. Step 6: Final answer
    x = 113,730.27

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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.