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Finding the Fourth Proportional to 207,932.10, 311,744.55 and 83,208.90

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Solution

The fourth proportional to 207,932.10, 311,744.55 and 83,208.90 is: 124,751.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,932.10 : 311,744.55 = 83,208.90 : x
  2. Step 2: Convert to fraction form
    207,932.10/311,744.55 = 83,208.90/x
  3. Step 3: Cross multiply
    207,932.10x = 311,744.55 × 83,208.90
  4. Step 4: Simplify right side
    207,932.10x = 25,939,921,086.50
  5. Step 5: Solve for x
    x = 25,939,921,086.50/207,932.10
  6. Step 6: Final answer
    x = 124,751.88

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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.