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Finding the Fourth Proportional to 192,383.21, 288,574.81 and 52,141.83

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Solution

The fourth proportional to 192,383.21, 288,574.81 and 52,141.83 is: 78,212.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,383.21 : 288,574.81 = 52,141.83 : x
  2. Step 2: Convert to fraction form
    192,383.21/288,574.81 = 52,141.83/x
  3. Step 3: Cross multiply
    192,383.21x = 288,574.81 × 52,141.83
  4. Step 4: Simplify right side
    192,383.21x = 15,046,818,554.95
  5. Step 5: Solve for x
    x = 15,046,818,554.95/192,383.21
  6. Step 6: Final answer
    x = 78,212.75

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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.