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Finding the Fourth Proportional to 116,067, 174,102.42 and 50,403

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Solution

The fourth proportional to 116,067, 174,102.42 and 50,403 is: 75,605.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,067 : 174,102.42 = 50,403 : x
  2. Step 2: Convert to fraction form
    116,067/174,102.42 = 50,403/x
  3. Step 3: Cross multiply
    116,067x = 174,102.42 × 50,403
  4. Step 4: Simplify right side
    116,067x = 8,775,284,275.26
  5. Step 5: Solve for x
    x = 8,775,284,275.26/116,067
  6. Step 6: Final answer
    x = 75,605.33

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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.