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Finding the Fourth Proportional to 209,137, 313,566.80 and 76,001.44

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Solution

The fourth proportional to 209,137, 313,566.80 and 76,001.44 is: 113,951.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,137 : 313,566.80 = 76,001.44 : x
  2. Step 2: Convert to fraction form
    209,137/313,566.80 = 76,001.44/x
  3. Step 3: Cross multiply
    209,137x = 313,566.80 × 76,001.44
  4. Step 4: Simplify right side
    209,137x = 23,831,528,336.19
  5. Step 5: Solve for x
    x = 23,831,528,336.19/209,137
  6. Step 6: Final answer
    x = 113,951.76

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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.