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Finding the Fourth Proportional to 192,506.46, 288,519.11 and 92,639.84

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Solution

The fourth proportional to 192,506.46, 288,519.11 and 92,639.84 is: 138,843.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,506.46 : 288,519.11 = 92,639.84 : x
  2. Step 2: Convert to fraction form
    192,506.46/288,519.11 = 92,639.84/x
  3. Step 3: Cross multiply
    192,506.46x = 288,519.11 × 92,639.84
  4. Step 4: Simplify right side
    192,506.46x = 26,728,362,281.55
  5. Step 5: Solve for x
    x = 26,728,362,281.55/192,506.46
  6. Step 6: Final answer
    x = 138,843.98

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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.