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Finding the Fourth Proportional to 276,006.80, 414,010.20 and 86,468.75

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Solution

The fourth proportional to 276,006.80, 414,010.20 and 86,468.75 is: 129,703.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,006.80 : 414,010.20 = 86,468.75 : x
  2. Step 2: Convert to fraction form
    276,006.80/414,010.20 = 86,468.75/x
  3. Step 3: Cross multiply
    276,006.80x = 414,010.20 × 86,468.75
  4. Step 4: Simplify right side
    276,006.80x = 35,798,944,481.25
  5. Step 5: Solve for x
    x = 35,798,944,481.25/276,006.80
  6. Step 6: Final answer
    x = 129,703.13

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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.