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Finding the Fourth Proportional to 206,026.86, 308,976.71 and 72,876.50

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Solution

The fourth proportional to 206,026.86, 308,976.71 and 72,876.50 is: 109,292.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,026.86 : 308,976.71 = 72,876.50 : x
  2. Step 2: Convert to fraction form
    206,026.86/308,976.71 = 72,876.50/x
  3. Step 3: Cross multiply
    206,026.86x = 308,976.71 × 72,876.50
  4. Step 4: Simplify right side
    206,026.86x = 22,517,139,843.62
  5. Step 5: Solve for x
    x = 22,517,139,843.62/206,026.86
  6. Step 6: Final answer
    x = 109,292.25

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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.