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Finding the Fourth Proportional to 106,250.40, 159,385.20 and 27,364.80

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Solution

The fourth proportional to 106,250.40, 159,385.20 and 27,364.80 is: 41,049.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,250.40 : 159,385.20 = 27,364.80 : x
  2. Step 2: Convert to fraction form
    106,250.40/159,385.20 = 27,364.80/x
  3. Step 3: Cross multiply
    106,250.40x = 159,385.20 × 27,364.80
  4. Step 4: Simplify right side
    106,250.40x = 4,361,544,120.96
  5. Step 5: Solve for x
    x = 4,361,544,120.96/106,250.40
  6. Step 6: Final answer
    x = 41,049.67

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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.