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Finding the Fourth Proportional to 109,297.60, 164,019.30 and 50,102.80

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Solution

The fourth proportional to 109,297.60, 164,019.30 and 50,102.80 is: 75,187.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,297.60 : 164,019.30 = 50,102.80 : x
  2. Step 2: Convert to fraction form
    109,297.60/164,019.30 = 50,102.80/x
  3. Step 3: Cross multiply
    109,297.60x = 164,019.30 × 50,102.80
  4. Step 4: Simplify right side
    109,297.60x = 8,217,826,184.04
  5. Step 5: Solve for x
    x = 8,217,826,184.04/109,297.60
  6. Step 6: Final answer
    x = 75,187.62

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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.