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Finding the Fourth Proportional to 256,478.39, 353,958.50 and 141,754.57

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Solution

The fourth proportional to 256,478.39, 353,958.50 and 141,754.57 is: 195,631.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,478.39 : 353,958.50 = 141,754.57 : x
  2. Step 2: Convert to fraction form
    256,478.39/353,958.50 = 141,754.57/x
  3. Step 3: Cross multiply
    256,478.39x = 353,958.50 × 141,754.57
  4. Step 4: Simplify right side
    256,478.39x = 50,175,233,195.55
  5. Step 5: Solve for x
    x = 50,175,233,195.55/256,478.39
  6. Step 6: Final answer
    x = 195,631.43

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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.