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Finding the Fourth Proportional to 132,169.74, 198,451.43 and 53,437.74

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Solution

The fourth proportional to 132,169.74, 198,451.43 and 53,437.74 is: 80,236.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,169.74 : 198,451.43 = 53,437.74 : x
  2. Step 2: Convert to fraction form
    132,169.74/198,451.43 = 53,437.74/x
  3. Step 3: Cross multiply
    132,169.74x = 198,451.43 × 53,437.74
  4. Step 4: Simplify right side
    132,169.74x = 10,604,795,918.97
  5. Step 5: Solve for x
    x = 10,604,795,918.97/132,169.74
  6. Step 6: Final answer
    x = 80,236.19

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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.