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Finding the Fourth Proportional to 120,221.96, 180,369.04 and 35,984.87

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Solution

The fourth proportional to 120,221.96, 180,369.04 and 35,984.87 is: 53,988.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,221.96 : 180,369.04 = 35,984.87 : x
  2. Step 2: Convert to fraction form
    120,221.96/180,369.04 = 35,984.87/x
  3. Step 3: Cross multiply
    120,221.96x = 180,369.04 × 35,984.87
  4. Step 4: Simplify right side
    120,221.96x = 6,490,555,464.62
  5. Step 5: Solve for x
    x = 6,490,555,464.62/120,221.96
  6. Step 6: Final answer
    x = 53,988.10

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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.