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Finding the Fourth Proportional to 205,847.58, 308,729.34 and 72,732.18

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Solution

The fourth proportional to 205,847.58, 308,729.34 and 72,732.18 is: 109,083.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,847.58 : 308,729.34 = 72,732.18 : x
  2. Step 2: Convert to fraction form
    205,847.58/308,729.34 = 72,732.18/x
  3. Step 3: Cross multiply
    205,847.58x = 308,729.34 × 72,732.18
  4. Step 4: Simplify right side
    205,847.58x = 22,454,557,928.16
  5. Step 5: Solve for x
    x = 22,454,557,928.16/205,847.58
  6. Step 6: Final answer
    x = 109,083.42

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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.