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Finding the Fourth Proportional to 260,099.40, 390,149.10 and 135,424.20

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Solution

The fourth proportional to 260,099.40, 390,149.10 and 135,424.20 is: 203,136.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,099.40 : 390,149.10 = 135,424.20 : x
  2. Step 2: Convert to fraction form
    260,099.40/390,149.10 = 135,424.20/x
  3. Step 3: Cross multiply
    260,099.40x = 390,149.10 × 135,424.20
  4. Step 4: Simplify right side
    260,099.40x = 52,835,629,748.22
  5. Step 5: Solve for x
    x = 52,835,629,748.22/260,099.40
  6. Step 6: Final answer
    x = 203,136.30

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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.