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Finding the Fourth Proportional to 256,475.08, 353,951.94 and 143,306.20

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Solution

The fourth proportional to 256,475.08, 353,951.94 and 143,306.20 is: 197,771.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,475.08 : 353,951.94 = 143,306.20 : x
  2. Step 2: Convert to fraction form
    256,475.08/353,951.94 = 143,306.20/x
  3. Step 3: Cross multiply
    256,475.08x = 353,951.94 × 143,306.20
  4. Step 4: Simplify right side
    256,475.08x = 50,723,507,504.03
  5. Step 5: Solve for x
    x = 50,723,507,504.03/256,475.08
  6. Step 6: Final answer
    x = 197,771.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.