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Finding the Fourth Proportional to 256,891.70, 385,337.55 and 204,014.90

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Solution

The fourth proportional to 256,891.70, 385,337.55 and 204,014.90 is: 306,022.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,891.70 : 385,337.55 = 204,014.90 : x
  2. Step 2: Convert to fraction form
    256,891.70/385,337.55 = 204,014.90/x
  3. Step 3: Cross multiply
    256,891.70x = 385,337.55 × 204,014.90
  4. Step 4: Simplify right side
    256,891.70x = 78,614,601,729.50
  5. Step 5: Solve for x
    x = 78,614,601,729.50/256,891.70
  6. Step 6: Final answer
    x = 306,022.35

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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.