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Finding the Fourth Proportional to 120,024.54, 180,149.81 and 60,902.64

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Solution

The fourth proportional to 120,024.54, 180,149.81 and 60,902.64 is: 91,411.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,024.54 : 180,149.81 = 60,902.64 : x
  2. Step 2: Convert to fraction form
    120,024.54/180,149.81 = 60,902.64/x
  3. Step 3: Cross multiply
    120,024.54x = 180,149.81 × 60,902.64
  4. Step 4: Simplify right side
    120,024.54x = 10,971,599,024.50
  5. Step 5: Solve for x
    x = 10,971,599,024.50/120,024.54
  6. Step 6: Final answer
    x = 91,411.30

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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.