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Finding the Fourth Proportional to 120,504.70, 180,756.14 and 36,264.50

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Solution

The fourth proportional to 120,504.70, 180,756.14 and 36,264.50 is: 54,396.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,504.70 : 180,756.14 = 36,264.50 : x
  2. Step 2: Convert to fraction form
    120,504.70/180,756.14 = 36,264.50/x
  3. Step 3: Cross multiply
    120,504.70x = 180,756.14 × 36,264.50
  4. Step 4: Simplify right side
    120,504.70x = 6,555,031,039.03
  5. Step 5: Solve for x
    x = 6,555,031,039.03/120,504.70
  6. Step 6: Final answer
    x = 54,396.48

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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.