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Finding the Fourth Proportional to 232,067, 320,252.46 and 131,465

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Solution

The fourth proportional to 232,067, 320,252.46 and 131,465 is: 181,421.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,067 : 320,252.46 = 131,465 : x
  2. Step 2: Convert to fraction form
    232,067/320,252.46 = 131,465/x
  3. Step 3: Cross multiply
    232,067x = 320,252.46 × 131,465
  4. Step 4: Simplify right side
    232,067x = 42,101,989,653.90
  5. Step 5: Solve for x
    x = 42,101,989,653.90/232,067
  6. Step 6: Final answer
    x = 181,421.70

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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.