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Finding the Fourth Proportional to 256,180.20, 384,270.30 and 138,082.20

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Solution

The fourth proportional to 256,180.20, 384,270.30 and 138,082.20 is: 207,123.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,180.20 : 384,270.30 = 138,082.20 : x
  2. Step 2: Convert to fraction form
    256,180.20/384,270.30 = 138,082.20/x
  3. Step 3: Cross multiply
    256,180.20x = 384,270.30 × 138,082.20
  4. Step 4: Simplify right side
    256,180.20x = 53,060,888,418.66
  5. Step 5: Solve for x
    x = 53,060,888,418.66/256,180.20
  6. Step 6: Final answer
    x = 207,123.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.