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Finding the Fourth Proportional to 256,753.57, 354,200.53 and 166,138.78

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Solution

The fourth proportional to 256,753.57, 354,200.53 and 166,138.78 is: 229,194.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,753.57 : 354,200.53 = 166,138.78 : x
  2. Step 2: Convert to fraction form
    256,753.57/354,200.53 = 166,138.78/x
  3. Step 3: Cross multiply
    256,753.57x = 354,200.53 × 166,138.78
  4. Step 4: Simplify right side
    256,753.57x = 58,846,443,929.55
  5. Step 5: Solve for x
    x = 58,846,443,929.55/256,753.57
  6. Step 6: Final answer
    x = 229,194.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.