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Finding the Fourth Proportional to 232,367.80, 348,481.90 and 82,588.40

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Solution

The fourth proportional to 232,367.80, 348,481.90 and 82,588.40 is: 123,857.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,367.80 : 348,481.90 = 82,588.40 : x
  2. Step 2: Convert to fraction form
    232,367.80/348,481.90 = 82,588.40/x
  3. Step 3: Cross multiply
    232,367.80x = 348,481.90 × 82,588.40
  4. Step 4: Simplify right side
    232,367.80x = 28,780,562,549.96
  5. Step 5: Solve for x
    x = 28,780,562,549.96/232,367.80
  6. Step 6: Final answer
    x = 123,857.79

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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.