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Finding the Fourth Proportional to 256,405.37, 353,839.39 and 143,228.12

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Solution

The fourth proportional to 256,405.37, 353,839.39 and 143,228.12 is: 197,654.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,405.37 : 353,839.39 = 143,228.12 : x
  2. Step 2: Convert to fraction form
    256,405.37/353,839.39 = 143,228.12/x
  3. Step 3: Cross multiply
    256,405.37x = 353,839.39 × 143,228.12
  4. Step 4: Simplify right side
    256,405.37x = 50,679,750,611.65
  5. Step 5: Solve for x
    x = 50,679,750,611.65/256,405.37
  6. Step 6: Final answer
    x = 197,654.79

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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.