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Finding the Fourth Proportional to 256,082.20, 384,123.30 and 203,205.40

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Solution

The fourth proportional to 256,082.20, 384,123.30 and 203,205.40 is: 304,808.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,082.20 : 384,123.30 = 203,205.40 : x
  2. Step 2: Convert to fraction form
    256,082.20/384,123.30 = 203,205.40/x
  3. Step 3: Cross multiply
    256,082.20x = 384,123.30 × 203,205.40
  4. Step 4: Simplify right side
    256,082.20x = 78,055,928,825.82
  5. Step 5: Solve for x
    x = 78,055,928,825.82/256,082.20
  6. Step 6: Final answer
    x = 304,808.10

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1.5x scale

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.