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Finding the Fourth Proportional to 170,734.10, 256,101.15 and 82,160.60

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Solution

The fourth proportional to 170,734.10, 256,101.15 and 82,160.60 is: 123,240.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,734.10 : 256,101.15 = 82,160.60 : x
  2. Step 2: Convert to fraction form
    170,734.10/256,101.15 = 82,160.60/x
  3. Step 3: Cross multiply
    170,734.10x = 256,101.15 × 82,160.60
  4. Step 4: Simplify right side
    170,734.10x = 21,041,424,144.69
  5. Step 5: Solve for x
    x = 21,041,424,144.69/170,734.10
  6. Step 6: Final answer
    x = 123,240.90

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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.