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Finding the Fourth Proportional to 102,816, 154,153.73 and 54,791.84

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Solution

The fourth proportional to 102,816, 154,153.73 and 54,791.84 is: 82,150.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,816 : 154,153.73 = 54,791.84 : x
  2. Step 2: Convert to fraction form
    102,816/154,153.73 = 54,791.84/x
  3. Step 3: Cross multiply
    102,816x = 154,153.73 × 54,791.84
  4. Step 4: Simplify right side
    102,816x = 8,446,367,031.93
  5. Step 5: Solve for x
    x = 8,446,367,031.93/102,816
  6. Step 6: Final answer
    x = 82,150.32

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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.