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Finding the Fourth Proportional to 132,205.19, 198,307.44 and 47,965.19

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Solution

The fourth proportional to 132,205.19, 198,307.44 and 47,965.19 is: 71,947.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,205.19 : 198,307.44 = 47,965.19 : x
  2. Step 2: Convert to fraction form
    132,205.19/198,307.44 = 47,965.19/x
  3. Step 3: Cross multiply
    132,205.19x = 198,307.44 × 47,965.19
  4. Step 4: Simplify right side
    132,205.19x = 9,511,853,046.48
  5. Step 5: Solve for x
    x = 9,511,853,046.48/132,205.19
  6. Step 6: Final answer
    x = 71,947.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.