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Finding the Fourth Proportional to 132,546.98, 198,945.03 and 69,412.40

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Solution

The fourth proportional to 132,546.98, 198,945.03 and 69,412.40 is: 104,183.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,546.98 : 198,945.03 = 69,412.40 : x
  2. Step 2: Convert to fraction form
    132,546.98/198,945.03 = 69,412.40/x
  3. Step 3: Cross multiply
    132,546.98x = 198,945.03 × 69,412.40
  4. Step 4: Simplify right side
    132,546.98x = 13,809,252,000.37
  5. Step 5: Solve for x
    x = 13,809,252,000.37/132,546.98
  6. Step 6: Final answer
    x = 104,183.83

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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.