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Finding the Fourth Proportional to 270,650.92, 406,015.28 and 83,677

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Solution

The fourth proportional to 270,650.92, 406,015.28 and 83,677 is: 125,527.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,650.92 : 406,015.28 = 83,677 : x
  2. Step 2: Convert to fraction form
    270,650.92/406,015.28 = 83,677/x
  3. Step 3: Cross multiply
    270,650.92x = 406,015.28 × 83,677
  4. Step 4: Simplify right side
    270,650.92x = 33,974,140,584.56
  5. Step 5: Solve for x
    x = 33,974,140,584.56/270,650.92
  6. Step 6: Final answer
    x = 125,527.53

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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.