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Finding the Fourth Proportional to 120,820.60, 181,230.90 and 78,830.20

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Solution

The fourth proportional to 120,820.60, 181,230.90 and 78,830.20 is: 118,245.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,820.60 : 181,230.90 = 78,830.20 : x
  2. Step 2: Convert to fraction form
    120,820.60/181,230.90 = 78,830.20/x
  3. Step 3: Cross multiply
    120,820.60x = 181,230.90 × 78,830.20
  4. Step 4: Simplify right side
    120,820.60x = 14,286,468,093.18
  5. Step 5: Solve for x
    x = 14,286,468,093.18/120,820.60
  6. Step 6: Final answer
    x = 118,245.30

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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.