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Finding the Fourth Proportional to 205,724.54, 308,611.50 and 72,577.34

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Solution

The fourth proportional to 205,724.54, 308,611.50 and 72,577.34 is: 108,874.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,724.54 : 308,611.50 = 72,577.34 : x
  2. Step 2: Convert to fraction form
    205,724.54/308,611.50 = 72,577.34/x
  3. Step 3: Cross multiply
    205,724.54x = 308,611.50 × 72,577.34
  4. Step 4: Simplify right side
    205,724.54x = 22,398,201,763.41
  5. Step 5: Solve for x
    x = 22,398,201,763.41/205,724.54
  6. Step 6: Final answer
    x = 108,874.72

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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.