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Finding the Fourth Proportional to 192,226.95, 288,318.54 and 51,974.64

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Solution

The fourth proportional to 192,226.95, 288,318.54 and 51,974.64 is: 77,956.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,226.95 : 288,318.54 = 51,974.64 : x
  2. Step 2: Convert to fraction form
    192,226.95/288,318.54 = 51,974.64/x
  3. Step 3: Cross multiply
    192,226.95x = 288,318.54 × 51,974.64
  4. Step 4: Simplify right side
    192,226.95x = 14,985,252,321.83
  5. Step 5: Solve for x
    x = 14,985,252,321.83/192,226.95
  6. Step 6: Final answer
    x = 77,956.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.