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Finding the Fourth Proportional to 171,974.26, 257,991.72 and 53,616.16

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Solution

The fourth proportional to 171,974.26, 257,991.72 and 53,616.16 is: 80,433.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,974.26 : 257,991.72 = 53,616.16 : x
  2. Step 2: Convert to fraction form
    171,974.26/257,991.72 = 53,616.16/x
  3. Step 3: Cross multiply
    171,974.26x = 257,991.72 × 53,616.16
  4. Step 4: Simplify right side
    171,974.26x = 13,832,525,338.20
  5. Step 5: Solve for x
    x = 13,832,525,338.20/171,974.26
  6. Step 6: Final answer
    x = 80,433.70

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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.