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Finding the Fourth Proportional to 256,077.60, 384,103.60 and 131,431.20

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Solution

The fourth proportional to 256,077.60, 384,103.60 and 131,431.20 is: 197,140.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,077.60 : 384,103.60 = 131,431.20 : x
  2. Step 2: Convert to fraction form
    256,077.60/384,103.60 = 131,431.20/x
  3. Step 3: Cross multiply
    256,077.60x = 384,103.60 × 131,431.20
  4. Step 4: Simplify right side
    256,077.60x = 50,483,197,072.32
  5. Step 5: Solve for x
    x = 50,483,197,072.32/256,077.60
  6. Step 6: Final answer
    x = 197,140.23

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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.