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Finding the Fourth Proportional to 192,758.08, 289,309.92 and 161,364.64

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Solution

The fourth proportional to 192,758.08, 289,309.92 and 161,364.64 is: 242,191.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,758.08 : 289,309.92 = 161,364.64 : x
  2. Step 2: Convert to fraction form
    192,758.08/289,309.92 = 161,364.64/x
  3. Step 3: Cross multiply
    192,758.08x = 289,309.92 × 161,364.64
  4. Step 4: Simplify right side
    192,758.08x = 46,684,391,089.23
  5. Step 5: Solve for x
    x = 46,684,391,089.23/192,758.08
  6. Step 6: Final answer
    x = 242,191.62

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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.