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Finding the Fourth Proportional to 171,662.10, 257,566.05 and 82,869.90

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Solution

The fourth proportional to 171,662.10, 257,566.05 and 82,869.90 is: 124,340.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,662.10 : 257,566.05 = 82,869.90 : x
  2. Step 2: Convert to fraction form
    171,662.10/257,566.05 = 82,869.90/x
  3. Step 3: Cross multiply
    171,662.10x = 257,566.05 × 82,869.90
  4. Step 4: Simplify right side
    171,662.10x = 21,344,472,806.90
  5. Step 5: Solve for x
    x = 21,344,472,806.90/171,662.10
  6. Step 6: Final answer
    x = 124,340.04

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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.