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Finding the Fourth Proportional to 206,883.10, 310,324.65 and 122,902.30

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Solution

The fourth proportional to 206,883.10, 310,324.65 and 122,902.30 is: 184,353.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,883.10 : 310,324.65 = 122,902.30 : x
  2. Step 2: Convert to fraction form
    206,883.10/310,324.65 = 122,902.30/x
  3. Step 3: Cross multiply
    206,883.10x = 310,324.65 × 122,902.30
  4. Step 4: Simplify right side
    206,883.10x = 38,139,613,231.70
  5. Step 5: Solve for x
    x = 38,139,613,231.70/206,883.10
  6. Step 6: Final answer
    x = 184,353.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.