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Finding the Fourth Proportional to 132,481.54, 198,724.58 and 37,714.16

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Solution

The fourth proportional to 132,481.54, 198,724.58 and 37,714.16 is: 56,571.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,481.54 : 198,724.58 = 37,714.16 : x
  2. Step 2: Convert to fraction form
    132,481.54/198,724.58 = 37,714.16/x
  3. Step 3: Cross multiply
    132,481.54x = 198,724.58 × 37,714.16
  4. Step 4: Simplify right side
    132,481.54x = 7,494,730,606.05
  5. Step 5: Solve for x
    x = 7,494,730,606.05/132,481.54
  6. Step 6: Final answer
    x = 56,571.89

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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.