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Finding the Fourth Proportional to 207,932.60, 311,745.30 and 83,209.40

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Solution

The fourth proportional to 207,932.60, 311,745.30 and 83,209.40 is: 124,752.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,932.60 : 311,745.30 = 83,209.40 : x
  2. Step 2: Convert to fraction form
    207,932.60/311,745.30 = 83,209.40/x
  3. Step 3: Cross multiply
    207,932.60x = 311,745.30 × 83,209.40
  4. Step 4: Simplify right side
    207,932.60x = 25,940,139,365.82
  5. Step 5: Solve for x
    x = 25,940,139,365.82/207,932.60
  6. Step 6: Final answer
    x = 124,752.63

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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.