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Finding the Fourth Proportional to 204,462.85, 282,167 and 113,813.05

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Solution

The fourth proportional to 204,462.85, 282,167 and 113,813.05 is: 157,066.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,462.85 : 282,167 = 113,813.05 : x
  2. Step 2: Convert to fraction form
    204,462.85/282,167 = 113,813.05/x
  3. Step 3: Cross multiply
    204,462.85x = 282,167 × 113,813.05
  4. Step 4: Simplify right side
    204,462.85x = 32,114,286,879.35
  5. Step 5: Solve for x
    x = 32,114,286,879.35/204,462.85
  6. Step 6: Final answer
    x = 157,066.61

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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.