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Finding the Fourth Proportional to 232,065, 320,249.70 and 131,463

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Solution

The fourth proportional to 232,065, 320,249.70 and 131,463 is: 181,418.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,065 : 320,249.70 = 131,463 : x
  2. Step 2: Convert to fraction form
    232,065/320,249.70 = 131,463/x
  3. Step 3: Cross multiply
    232,065x = 320,249.70 × 131,463
  4. Step 4: Simplify right side
    232,065x = 42,100,986,311.10
  5. Step 5: Solve for x
    x = 42,100,986,311.10/232,065
  6. Step 6: Final answer
    x = 181,418.94

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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.