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Finding the Fourth Proportional to 192,818.82, 289,160.48 and 57,842.64

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Solution

The fourth proportional to 192,818.82, 289,160.48 and 57,842.64 is: 86,743.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,818.82 : 289,160.48 = 57,842.64 : x
  2. Step 2: Convert to fraction form
    192,818.82/289,160.48 = 57,842.64/x
  3. Step 3: Cross multiply
    192,818.82x = 289,160.48 × 57,842.64
  4. Step 4: Simplify right side
    192,818.82x = 16,725,805,546.87
  5. Step 5: Solve for x
    x = 16,725,805,546.87/192,818.82
  6. Step 6: Final answer
    x = 86,743.64

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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.