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Finding the Fourth Proportional to 131,836.62, 197,714.49 and 47,586.48

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Solution

The fourth proportional to 131,836.62, 197,714.49 and 47,586.48 is: 71,365.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,836.62 : 197,714.49 = 47,586.48 : x
  2. Step 2: Convert to fraction form
    131,836.62/197,714.49 = 47,586.48/x
  3. Step 3: Cross multiply
    131,836.62x = 197,714.49 × 47,586.48
  4. Step 4: Simplify right side
    131,836.62x = 9,408,536,624.10
  5. Step 5: Solve for x
    x = 9,408,536,624.10/131,836.62
  6. Step 6: Final answer
    x = 71,365.12

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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.