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Finding the Fourth Proportional to 260,106.40, 389,576.40 and 225,114.40

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Solution

The fourth proportional to 260,106.40, 389,576.40 and 225,114.40 is: 337,166.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,106.40 : 389,576.40 = 225,114.40 : x
  2. Step 2: Convert to fraction form
    260,106.40/389,576.40 = 225,114.40/x
  3. Step 3: Cross multiply
    260,106.40x = 389,576.40 × 225,114.40
  4. Step 4: Simplify right side
    260,106.40x = 87,699,257,540.16
  5. Step 5: Solve for x
    x = 87,699,257,540.16/260,106.40
  6. Step 6: Final answer
    x = 337,166.86

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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.