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Finding the Fourth Proportional to 232,051.91, 320,229.06 and 130,093.97

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Solution

The fourth proportional to 232,051.91, 320,229.06 and 130,093.97 is: 179,528.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,051.91 : 320,229.06 = 130,093.97 : x
  2. Step 2: Convert to fraction form
    232,051.91/320,229.06 = 130,093.97/x
  3. Step 3: Cross multiply
    232,051.91x = 320,229.06 × 130,093.97
  4. Step 4: Simplify right side
    232,051.91x = 41,659,869,724.77
  5. Step 5: Solve for x
    x = 41,659,869,724.77/232,051.91
  6. Step 6: Final answer
    x = 179,528.23

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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.