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Finding the Fourth Proportional to 84,200.68, 116,204.70 and 58,744

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Solution

The fourth proportional to 84,200.68, 116,204.70 and 58,744 is: 81,072.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,200.68 : 116,204.70 = 58,744 : x
  2. Step 2: Convert to fraction form
    84,200.68/116,204.70 = 58,744/x
  3. Step 3: Cross multiply
    84,200.68x = 116,204.70 × 58,744
  4. Step 4: Simplify right side
    84,200.68x = 6,826,328,896.80
  5. Step 5: Solve for x
    x = 6,826,328,896.80/84,200.68
  6. Step 6: Final answer
    x = 81,072.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.