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Finding the Fourth Proportional to 171,694.30, 257,595.45 and 82,950.70

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Solution

The fourth proportional to 171,694.30, 257,595.45 and 82,950.70 is: 124,452.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,694.30 : 257,595.45 = 82,950.70 : x
  2. Step 2: Convert to fraction form
    171,694.30/257,595.45 = 82,950.70/x
  3. Step 3: Cross multiply
    171,694.30x = 257,595.45 × 82,950.70
  4. Step 4: Simplify right side
    171,694.30x = 21,367,722,894.32
  5. Step 5: Solve for x
    x = 21,367,722,894.32/171,694.30
  6. Step 6: Final answer
    x = 124,452.14

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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.