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Finding the Fourth Proportional to 192,952.98, 289,489.14 and 58,022.46

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Solution

The fourth proportional to 192,952.98, 289,489.14 and 58,022.46 is: 87,051.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,952.98 : 289,489.14 = 58,022.46 : x
  2. Step 2: Convert to fraction form
    192,952.98/289,489.14 = 58,022.46/x
  3. Step 3: Cross multiply
    192,952.98x = 289,489.14 × 58,022.46
  4. Step 4: Simplify right side
    192,952.98x = 16,796,872,046.08
  5. Step 5: Solve for x
    x = 16,796,872,046.08/192,952.98
  6. Step 6: Final answer
    x = 87,051.63

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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.