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Finding the Fourth Proportional to 260,103.40, 390,165.90 and 82,605.40

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Solution

The fourth proportional to 260,103.40, 390,165.90 and 82,605.40 is: 123,911.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,103.40 : 390,165.90 = 82,605.40 : x
  2. Step 2: Convert to fraction form
    260,103.40/390,165.90 = 82,605.40/x
  3. Step 3: Cross multiply
    260,103.40x = 390,165.90 × 82,605.40
  4. Step 4: Simplify right side
    260,103.40x = 32,229,810,235.86
  5. Step 5: Solve for x
    x = 32,229,810,235.86/260,103.40
  6. Step 6: Final answer
    x = 123,911.53

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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.