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Finding the Fourth Proportional to 256,752.57, 354,199.15 and 166,137.78

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Solution

The fourth proportional to 256,752.57, 354,199.15 and 166,137.78 is: 229,192.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,752.57 : 354,199.15 = 166,137.78 : x
  2. Step 2: Convert to fraction form
    256,752.57/354,199.15 = 166,137.78/x
  3. Step 3: Cross multiply
    256,752.57x = 354,199.15 × 166,137.78
  4. Step 4: Simplify right side
    256,752.57x = 58,845,861,060.28
  5. Step 5: Solve for x
    x = 58,845,861,060.28/256,752.57
  6. Step 6: Final answer
    x = 229,192.88

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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.