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Finding the Fourth Proportional to 256,576.82, 354,202.47 and 161,136.14

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Solution

The fourth proportional to 256,576.82, 354,202.47 and 161,136.14 is: 222,447.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,576.82 : 354,202.47 = 161,136.14 : x
  2. Step 2: Convert to fraction form
    256,576.82/354,202.47 = 161,136.14/x
  3. Step 3: Cross multiply
    256,576.82x = 354,202.47 × 161,136.14
  4. Step 4: Simplify right side
    256,576.82x = 57,074,817,023.25
  5. Step 5: Solve for x
    x = 57,074,817,023.25/256,576.82
  6. Step 6: Final answer
    x = 222,447.29

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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.