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Finding the Fourth Proportional to 203,842.60, 305,763.90 and 54,082.60

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Solution

The fourth proportional to 203,842.60, 305,763.90 and 54,082.60 is: 81,123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,842.60 : 305,763.90 = 54,082.60 : x
  2. Step 2: Convert to fraction form
    203,842.60/305,763.90 = 54,082.60/x
  3. Step 3: Cross multiply
    203,842.60x = 305,763.90 × 54,082.60
  4. Step 4: Simplify right side
    203,842.60x = 16,536,506,698.14
  5. Step 5: Solve for x
    x = 16,536,506,698.14/203,842.60
  6. Step 6: Final answer
    x = 81,123.90

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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.