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Finding the Fourth Proportional to 170,942.60, 256,486.80 and 82,150.40

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Solution

The fourth proportional to 170,942.60, 256,486.80 and 82,150.40 is: 123,260.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,942.60 : 256,486.80 = 82,150.40 : x
  2. Step 2: Convert to fraction form
    170,942.60/256,486.80 = 82,150.40/x
  3. Step 3: Cross multiply
    170,942.60x = 256,486.80 × 82,150.40
  4. Step 4: Simplify right side
    170,942.60x = 21,070,493,214.72
  5. Step 5: Solve for x
    x = 21,070,493,214.72/170,942.60
  6. Step 6: Final answer
    x = 123,260.63

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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.