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Finding the Fourth Proportional to 132,505.80, 198,759.89 and 37,735.90

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Solution

The fourth proportional to 132,505.80, 198,759.89 and 37,735.90 is: 56,604.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,505.80 : 198,759.89 = 37,735.90 : x
  2. Step 2: Convert to fraction form
    132,505.80/198,759.89 = 37,735.90/x
  3. Step 3: Cross multiply
    132,505.80x = 198,759.89 × 37,735.90
  4. Step 4: Simplify right side
    132,505.80x = 7,500,382,647.47
  5. Step 5: Solve for x
    x = 7,500,382,647.47/132,505.80
  6. Step 6: Final answer
    x = 56,604.18

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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.