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Finding the Fourth Proportional to 256,078.60, 384,105.10 and 131,432.20

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Solution

The fourth proportional to 256,078.60, 384,105.10 and 131,432.20 is: 197,141.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,078.60 : 384,105.10 = 131,432.20 : x
  2. Step 2: Convert to fraction form
    256,078.60/384,105.10 = 131,432.20/x
  3. Step 3: Cross multiply
    256,078.60x = 384,105.10 × 131,432.20
  4. Step 4: Simplify right side
    256,078.60x = 50,483,778,324.22
  5. Step 5: Solve for x
    x = 50,483,778,324.22/256,078.60
  6. Step 6: Final answer
    x = 197,141.73

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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.