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Finding the Fourth Proportional to 109,352.97, 163,972.71 and 50,137.65

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Solution

The fourth proportional to 109,352.97, 163,972.71 and 50,137.65 is: 75,180.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,352.97 : 163,972.71 = 50,137.65 : x
  2. Step 2: Convert to fraction form
    109,352.97/163,972.71 = 50,137.65/x
  3. Step 3: Cross multiply
    109,352.97x = 163,972.71 × 50,137.65
  4. Step 4: Simplify right side
    109,352.97x = 8,221,206,343.53
  5. Step 5: Solve for x
    x = 8,221,206,343.53/109,352.97
  6. Step 6: Final answer
    x = 75,180.46

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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.