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Finding the Fourth Proportional to 286,107.12, 394,899.03 and 165,318.30

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Solution

The fourth proportional to 286,107.12, 394,899.03 and 165,318.30 is: 228,180.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,107.12 : 394,899.03 = 165,318.30 : x
  2. Step 2: Convert to fraction form
    286,107.12/394,899.03 = 165,318.30/x
  3. Step 3: Cross multiply
    286,107.12x = 394,899.03 × 165,318.30
  4. Step 4: Simplify right side
    286,107.12x = 65,284,036,311.25
  5. Step 5: Solve for x
    x = 65,284,036,311.25/286,107.12
  6. Step 6: Final answer
    x = 228,180.40

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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.