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Finding the Fourth Proportional to 152,218.40, 228,327.60 and 82,234.40

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Solution

The fourth proportional to 152,218.40, 228,327.60 and 82,234.40 is: 123,351.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,218.40 : 228,327.60 = 82,234.40 : x
  2. Step 2: Convert to fraction form
    152,218.40/228,327.60 = 82,234.40/x
  3. Step 3: Cross multiply
    152,218.40x = 228,327.60 × 82,234.40
  4. Step 4: Simplify right side
    152,218.40x = 18,776,383,189.44
  5. Step 5: Solve for x
    x = 18,776,383,189.44/152,218.40
  6. Step 6: Final answer
    x = 123,351.60

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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.