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Finding the Fourth Proportional to 207,825.88, 311,712.90 and 83,167.96

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Solution

The fourth proportional to 207,825.88, 311,712.90 and 83,167.96 is: 124,741.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,825.88 : 311,712.90 = 83,167.96 : x
  2. Step 2: Convert to fraction form
    207,825.88/311,712.90 = 83,167.96/x
  3. Step 3: Cross multiply
    207,825.88x = 311,712.90 × 83,167.96
  4. Step 4: Simplify right side
    207,825.88x = 25,924,525,998.68
  5. Step 5: Solve for x
    x = 25,924,525,998.68/207,825.88
  6. Step 6: Final answer
    x = 124,741.57

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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.