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Finding the Fourth Proportional to 170,834.60, 256,324.80 and 82,042.40

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Solution

The fourth proportional to 170,834.60, 256,324.80 and 82,042.40 is: 123,098.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,834.60 : 256,324.80 = 82,042.40 : x
  2. Step 2: Convert to fraction form
    170,834.60/256,324.80 = 82,042.40/x
  3. Step 3: Cross multiply
    170,834.60x = 256,324.80 × 82,042.40
  4. Step 4: Simplify right side
    170,834.60x = 21,029,501,771.52
  5. Step 5: Solve for x
    x = 21,029,501,771.52/170,834.60
  6. Step 6: Final answer
    x = 123,098.61

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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.