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Finding the Fourth Proportional to 170,906.40, 256,257.20 and 87,962.40

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Solution

The fourth proportional to 170,906.40, 256,257.20 and 87,962.40 is: 131,890.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,906.40 : 256,257.20 = 87,962.40 : x
  2. Step 2: Convert to fraction form
    170,906.40/256,257.20 = 87,962.40/x
  3. Step 3: Cross multiply
    170,906.40x = 256,257.20 × 87,962.40
  4. Step 4: Simplify right side
    170,906.40x = 22,540,998,329.28
  5. Step 5: Solve for x
    x = 22,540,998,329.28/170,906.40
  6. Step 6: Final answer
    x = 131,890.90

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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.