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Finding the Fourth Proportional to 120,184.90, 180,224.74 and 57,023.03

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Solution

The fourth proportional to 120,184.90, 180,224.74 and 57,023.03 is: 85,509.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,184.90 : 180,224.74 = 57,023.03 : x
  2. Step 2: Convert to fraction form
    120,184.90/180,224.74 = 57,023.03/x
  3. Step 3: Cross multiply
    120,184.90x = 180,224.74 × 57,023.03
  4. Step 4: Simplify right side
    120,184.90x = 10,276,961,277.60
  5. Step 5: Solve for x
    x = 10,276,961,277.60/120,184.90
  6. Step 6: Final answer
    x = 85,509.59

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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.