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Finding the Fourth Proportional to 227,709.36, 313,543.29 and 206,349.66

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Solution

The fourth proportional to 227,709.36, 313,543.29 and 206,349.66 is: 284,132.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,709.36 : 313,543.29 = 206,349.66 : x
  2. Step 2: Convert to fraction form
    227,709.36/313,543.29 = 206,349.66/x
  3. Step 3: Cross multiply
    227,709.36x = 313,543.29 × 206,349.66
  4. Step 4: Simplify right side
    227,709.36x = 64,699,551,286.78
  5. Step 5: Solve for x
    x = 64,699,551,286.78/227,709.36
  6. Step 6: Final answer
    x = 284,132.16

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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.