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Finding the Fourth Proportional to 206,372.01, 284,796.50 and 120,328.65

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Solution

The fourth proportional to 206,372.01, 284,796.50 and 120,328.65 is: 166,055.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,372.01 : 284,796.50 = 120,328.65 : x
  2. Step 2: Convert to fraction form
    206,372.01/284,796.50 = 120,328.65/x
  3. Step 3: Cross multiply
    206,372.01x = 284,796.50 × 120,328.65
  4. Step 4: Simplify right side
    206,372.01x = 34,269,177,768.08
  5. Step 5: Solve for x
    x = 34,269,177,768.08/206,372.01
  6. Step 6: Final answer
    x = 166,055.35

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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.