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Finding the Fourth Proportional to 232,422.62, 348,518.71 and 82,640.39

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Solution

The fourth proportional to 232,422.62, 348,518.71 and 82,640.39 is: 123,919.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,422.62 : 348,518.71 = 82,640.39 : x
  2. Step 2: Convert to fraction form
    232,422.62/348,518.71 = 82,640.39/x
  3. Step 3: Cross multiply
    232,422.62x = 348,518.71 × 82,640.39
  4. Step 4: Simplify right side
    232,422.62x = 28,801,721,703.50
  5. Step 5: Solve for x
    x = 28,801,721,703.50/232,422.62
  6. Step 6: Final answer
    x = 123,919.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.