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Finding the Fourth Proportional to 232,399.25, 320,710.97 and 131,797.25

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Solution

The fourth proportional to 232,399.25, 320,710.97 and 131,797.25 is: 181,880.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,399.25 : 320,710.97 = 131,797.25 : x
  2. Step 2: Convert to fraction form
    232,399.25/320,710.97 = 131,797.25/x
  3. Step 3: Cross multiply
    232,399.25x = 320,710.97 × 131,797.25
  4. Step 4: Simplify right side
    232,399.25x = 42,268,823,890.83
  5. Step 5: Solve for x
    x = 42,268,823,890.83/232,399.25
  6. Step 6: Final answer
    x = 181,880.21

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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.