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Finding the Fourth Proportional to 171,946.37, 257,992.46 and 83,265.95

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Solution

The fourth proportional to 171,946.37, 257,992.46 and 83,265.95 is: 124,934.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,946.37 : 257,992.46 = 83,265.95 : x
  2. Step 2: Convert to fraction form
    171,946.37/257,992.46 = 83,265.95/x
  3. Step 3: Cross multiply
    171,946.37x = 257,992.46 × 83,265.95
  4. Step 4: Simplify right side
    171,946.37x = 21,481,987,274.74
  5. Step 5: Solve for x
    x = 21,481,987,274.74/171,946.37
  6. Step 6: Final answer
    x = 124,934.23

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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.