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Finding the Fourth Proportional to 132,014.96, 198,034.09 and 37,245.98

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Solution

The fourth proportional to 132,014.96, 198,034.09 and 37,245.98 is: 55,872.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,014.96 : 198,034.09 = 37,245.98 : x
  2. Step 2: Convert to fraction form
    132,014.96/198,034.09 = 37,245.98/x
  3. Step 3: Cross multiply
    132,014.96x = 198,034.09 × 37,245.98
  4. Step 4: Simplify right side
    132,014.96x = 7,375,972,579.06
  5. Step 5: Solve for x
    x = 7,375,972,579.06/132,014.96
  6. Step 6: Final answer
    x = 55,872.25

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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.