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Finding the Fourth Proportional to 120,433, 180,692.94 and 64,213.96

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Solution

The fourth proportional to 120,433, 180,692.94 and 64,213.96 is: 96,344.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,433 : 180,692.94 = 64,213.96 : x
  2. Step 2: Convert to fraction form
    120,433/180,692.94 = 64,213.96/x
  3. Step 3: Cross multiply
    120,433x = 180,692.94 × 64,213.96
  4. Step 4: Simplify right side
    120,433x = 11,603,009,221.44
  5. Step 5: Solve for x
    x = 11,603,009,221.44/120,433
  6. Step 6: Final answer
    x = 96,344.10

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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.