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Finding the Fourth Proportional to 165,093.80, 247,640.70 and 86,232.20

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Solution

The fourth proportional to 165,093.80, 247,640.70 and 86,232.20 is: 129,348.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,093.80 : 247,640.70 = 86,232.20 : x
  2. Step 2: Convert to fraction form
    165,093.80/247,640.70 = 86,232.20/x
  3. Step 3: Cross multiply
    165,093.80x = 247,640.70 × 86,232.20
  4. Step 4: Simplify right side
    165,093.80x = 21,354,602,370.54
  5. Step 5: Solve for x
    x = 21,354,602,370.54/165,093.80
  6. Step 6: Final answer
    x = 129,348.30

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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.