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Finding the Fourth Proportional to 192,208.40, 288,311.92 and 51,967

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Solution

The fourth proportional to 192,208.40, 288,311.92 and 51,967 is: 77,950.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,208.40 : 288,311.92 = 51,967 : x
  2. Step 2: Convert to fraction form
    192,208.40/288,311.92 = 51,967/x
  3. Step 3: Cross multiply
    192,208.40x = 288,311.92 × 51,967
  4. Step 4: Simplify right side
    192,208.40x = 14,982,705,546.64
  5. Step 5: Solve for x
    x = 14,982,705,546.64/192,208.40
  6. Step 6: Final answer
    x = 77,950.32

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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.