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Finding the Fourth Proportional to 171,642.10, 257,536.05 and 82,849.90

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Solution

The fourth proportional to 171,642.10, 257,536.05 and 82,849.90 is: 124,310.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,642.10 : 257,536.05 = 82,849.90 : x
  2. Step 2: Convert to fraction form
    171,642.10/257,536.05 = 82,849.90/x
  3. Step 3: Cross multiply
    171,642.10x = 257,536.05 × 82,849.90
  4. Step 4: Simplify right side
    171,642.10x = 21,336,835,988.90
  5. Step 5: Solve for x
    x = 21,336,835,988.90/171,642.10
  6. Step 6: Final answer
    x = 124,310.04

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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.