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Finding the Fourth Proportional to 232,432.70, 347,769.03 and 137,713.64

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Solution

The fourth proportional to 232,432.70, 347,769.03 and 137,713.64 is: 206,049.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,432.70 : 347,769.03 = 137,713.64 : x
  2. Step 2: Convert to fraction form
    232,432.70/347,769.03 = 137,713.64/x
  3. Step 3: Cross multiply
    232,432.70x = 347,769.03 × 137,713.64
  4. Step 4: Simplify right side
    232,432.70x = 47,892,539,000.57
  5. Step 5: Solve for x
    x = 47,892,539,000.57/232,432.70
  6. Step 6: Final answer
    x = 206,049.06

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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.