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Finding the Fourth Proportional to 260,084.50, 390,140.26 and 82,605.40

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Solution

The fourth proportional to 260,084.50, 390,140.26 and 82,605.40 is: 123,912.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,084.50 : 390,140.26 = 82,605.40 : x
  2. Step 2: Convert to fraction form
    260,084.50/390,140.26 = 82,605.40/x
  3. Step 3: Cross multiply
    260,084.50x = 390,140.26 × 82,605.40
  4. Step 4: Simplify right side
    260,084.50x = 32,227,692,233.40
  5. Step 5: Solve for x
    x = 32,227,692,233.40/260,084.50
  6. Step 6: Final answer
    x = 123,912.39

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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.