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Finding the Fourth Proportional to 132,965.82, 199,390.41 and 49,801.50

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Solution

The fourth proportional to 132,965.82, 199,390.41 and 49,801.50 is: 74,680.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,965.82 : 199,390.41 = 49,801.50 : x
  2. Step 2: Convert to fraction form
    132,965.82/199,390.41 = 49,801.50/x
  3. Step 3: Cross multiply
    132,965.82x = 199,390.41 × 49,801.50
  4. Step 4: Simplify right side
    132,965.82x = 9,929,941,503.62
  5. Step 5: Solve for x
    x = 9,929,941,503.62/132,965.82
  6. Step 6: Final answer
    x = 74,680.41

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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.