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Finding the Fourth Proportional to 256,098.60, 384,135.10 and 131,452.20

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Solution

The fourth proportional to 256,098.60, 384,135.10 and 131,452.20 is: 197,171.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,098.60 : 384,135.10 = 131,452.20 : x
  2. Step 2: Convert to fraction form
    256,098.60/384,135.10 = 131,452.20/x
  3. Step 3: Cross multiply
    256,098.60x = 384,135.10 × 131,452.20
  4. Step 4: Simplify right side
    256,098.60x = 50,495,403,992.22
  5. Step 5: Solve for x
    x = 50,495,403,992.22/256,098.60
  6. Step 6: Final answer
    x = 197,171.73

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1.5x scale

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.