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Finding the Fourth Proportional to 256,188.78, 353,540.16 and 143,011.53

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Solution

The fourth proportional to 256,188.78, 353,540.16 and 143,011.53 is: 197,355.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,188.78 : 353,540.16 = 143,011.53 : x
  2. Step 2: Convert to fraction form
    256,188.78/353,540.16 = 143,011.53/x
  3. Step 3: Cross multiply
    256,188.78x = 353,540.16 × 143,011.53
  4. Step 4: Simplify right side
    256,188.78x = 50,560,319,198.04
  5. Step 5: Solve for x
    x = 50,560,319,198.04/256,188.78
  6. Step 6: Final answer
    x = 197,355.71

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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.