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Finding the Fourth Proportional to 192,996.54, 289,483.83 and 58,057.74

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Solution

The fourth proportional to 192,996.54, 289,483.83 and 58,057.74 is: 87,083.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,996.54 : 289,483.83 = 58,057.74 : x
  2. Step 2: Convert to fraction form
    192,996.54/289,483.83 = 58,057.74/x
  3. Step 3: Cross multiply
    192,996.54x = 289,483.83 × 58,057.74
  4. Step 4: Simplify right side
    192,996.54x = 16,806,776,936.34
  5. Step 5: Solve for x
    x = 16,806,776,936.34/192,996.54
  6. Step 6: Final answer
    x = 87,083.31

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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.