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Finding the Fourth Proportional to 270,626.67, 405,978.89 and 83,652.75

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Solution

The fourth proportional to 270,626.67, 405,978.89 and 83,652.75 is: 125,491.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,626.67 : 405,978.89 = 83,652.75 : x
  2. Step 2: Convert to fraction form
    270,626.67/405,978.89 = 83,652.75/x
  3. Step 3: Cross multiply
    270,626.67x = 405,978.89 × 83,652.75
  4. Step 4: Simplify right side
    270,626.67x = 33,961,250,172.18
  5. Step 5: Solve for x
    x = 33,961,250,172.18/270,626.67
  6. Step 6: Final answer
    x = 125,491.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.