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Finding the Fourth Proportional to 171,651.10, 257,549.55 and 82,858.90

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Solution

The fourth proportional to 171,651.10, 257,549.55 and 82,858.90 is: 124,323.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,651.10 : 257,549.55 = 82,858.90 : x
  2. Step 2: Convert to fraction form
    171,651.10/257,549.55 = 82,858.90/x
  3. Step 3: Cross multiply
    171,651.10x = 257,549.55 × 82,858.90
  4. Step 4: Simplify right side
    171,651.10x = 21,340,272,408.50
  5. Step 5: Solve for x
    x = 21,340,272,408.50/171,651.10
  6. Step 6: Final answer
    x = 124,323.54

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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.