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Finding the Fourth Proportional to 270,535.26, 405,853.89 and 83,503.02

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Solution

The fourth proportional to 270,535.26, 405,853.89 and 83,503.02 is: 125,270.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,535.26 : 405,853.89 = 83,503.02 : x
  2. Step 2: Convert to fraction form
    270,535.26/405,853.89 = 83,503.02/x
  3. Step 3: Cross multiply
    270,535.26x = 405,853.89 × 83,503.02
  4. Step 4: Simplify right side
    270,535.26x = 33,890,025,493.75
  5. Step 5: Solve for x
    x = 33,890,025,493.75/270,535.26
  6. Step 6: Final answer
    x = 125,270.27

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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.