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Finding the Fourth Proportional to 204,524.90, 306,808.31 and 78,271.34

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Solution

The fourth proportional to 204,524.90, 306,808.31 and 78,271.34 is: 117,415.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,524.90 : 306,808.31 = 78,271.34 : x
  2. Step 2: Convert to fraction form
    204,524.90/306,808.31 = 78,271.34/x
  3. Step 3: Cross multiply
    204,524.90x = 306,808.31 × 78,271.34
  4. Step 4: Simplify right side
    204,524.90x = 24,014,297,922.50
  5. Step 5: Solve for x
    x = 24,014,297,922.50/204,524.90
  6. Step 6: Final answer
    x = 117,415.03

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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.