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Finding the Fourth Proportional to 206,896.60, 310,344.90 and 184,589.20

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Solution

The fourth proportional to 206,896.60, 310,344.90 and 184,589.20 is: 276,883.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,896.60 : 310,344.90 = 184,589.20 : x
  2. Step 2: Convert to fraction form
    206,896.60/310,344.90 = 184,589.20/x
  3. Step 3: Cross multiply
    206,896.60x = 310,344.90 × 184,589.20
  4. Step 4: Simplify right side
    206,896.60x = 57,286,316,815.08
  5. Step 5: Solve for x
    x = 57,286,316,815.08/206,896.60
  6. Step 6: Final answer
    x = 276,883.80

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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.