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Finding the Fourth Proportional to 232,652.82, 321,060.96 and 130,678.44

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Solution

The fourth proportional to 232,652.82, 321,060.96 and 130,678.44 is: 180,336.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,652.82 : 321,060.96 = 130,678.44 : x
  2. Step 2: Convert to fraction form
    232,652.82/321,060.96 = 130,678.44/x
  3. Step 3: Cross multiply
    232,652.82x = 321,060.96 × 130,678.44
  4. Step 4: Simplify right side
    232,652.82x = 41,955,745,397.70
  5. Step 5: Solve for x
    x = 41,955,745,397.70/232,652.82
  6. Step 6: Final answer
    x = 180,336.29

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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.