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Finding the Fourth Proportional to 120,416.40, 180,624.60 and 58,093.20

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Solution

The fourth proportional to 120,416.40, 180,624.60 and 58,093.20 is: 87,139.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,416.40 : 180,624.60 = 58,093.20 : x
  2. Step 2: Convert to fraction form
    120,416.40/180,624.60 = 58,093.20/x
  3. Step 3: Cross multiply
    120,416.40x = 180,624.60 × 58,093.20
  4. Step 4: Simplify right side
    120,416.40x = 10,493,061,012.72
  5. Step 5: Solve for x
    x = 10,493,061,012.72/120,416.40
  6. Step 6: Final answer
    x = 87,139.80

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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.