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Finding the Fourth Proportional to 276,041.96, 414,063.03 and 86,517.03

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Solution

The fourth proportional to 276,041.96, 414,063.03 and 86,517.03 is: 129,775.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,041.96 : 414,063.03 = 86,517.03 : x
  2. Step 2: Convert to fraction form
    276,041.96/414,063.03 = 86,517.03/x
  3. Step 3: Cross multiply
    276,041.96x = 414,063.03 × 86,517.03
  4. Step 4: Simplify right side
    276,041.96x = 35,823,503,588.40
  5. Step 5: Solve for x
    x = 35,823,503,588.40/276,041.96
  6. Step 6: Final answer
    x = 129,775.58

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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.