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Finding the Fourth Proportional to 171,794.74, 257,716.42 and 53,478.04

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Solution

The fourth proportional to 171,794.74, 257,716.42 and 53,478.04 is: 80,224.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,794.74 : 257,716.42 = 53,478.04 : x
  2. Step 2: Convert to fraction form
    171,794.74/257,716.42 = 53,478.04/x
  3. Step 3: Cross multiply
    171,794.74x = 257,716.42 × 53,478.04
  4. Step 4: Simplify right side
    171,794.74x = 13,782,169,017.42
  5. Step 5: Solve for x
    x = 13,782,169,017.42/171,794.74
  6. Step 6: Final answer
    x = 80,224.63

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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.