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Finding the Fourth Proportional to 120,847.60, 181,271.40 and 32,114.80

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Solution

The fourth proportional to 120,847.60, 181,271.40 and 32,114.80 is: 48,172.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,847.60 : 181,271.40 = 32,114.80 : x
  2. Step 2: Convert to fraction form
    120,847.60/181,271.40 = 32,114.80/x
  3. Step 3: Cross multiply
    120,847.60x = 181,271.40 × 32,114.80
  4. Step 4: Simplify right side
    120,847.60x = 5,821,494,756.72
  5. Step 5: Solve for x
    x = 5,821,494,756.72/120,847.60
  6. Step 6: Final answer
    x = 48,172.20

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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.