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Finding the Fourth Proportional to 232,620.26, 321,137.87 and 156,539.39

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Solution

The fourth proportional to 232,620.26, 321,137.87 and 156,539.39 is: 216,106.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,620.26 : 321,137.87 = 156,539.39 : x
  2. Step 2: Convert to fraction form
    232,620.26/321,137.87 = 156,539.39/x
  3. Step 3: Cross multiply
    232,620.26x = 321,137.87 × 156,539.39
  4. Step 4: Simplify right side
    232,620.26x = 50,270,723,887.31
  5. Step 5: Solve for x
    x = 50,270,723,887.31/232,620.26
  6. Step 6: Final answer
    x = 216,106.39

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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.