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Finding the Fourth Proportional to 232,137.38, 320,416.02 and 136,699.44

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Solution

The fourth proportional to 232,137.38, 320,416.02 and 136,699.44 is: 188,684.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,137.38 : 320,416.02 = 136,699.44 : x
  2. Step 2: Convert to fraction form
    232,137.38/320,416.02 = 136,699.44/x
  3. Step 3: Cross multiply
    232,137.38x = 320,416.02 × 136,699.44
  4. Step 4: Simplify right side
    232,137.38x = 43,800,690,501.03
  5. Step 5: Solve for x
    x = 43,800,690,501.03/232,137.38
  6. Step 6: Final answer
    x = 188,684.35

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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.