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Finding the Fourth Proportional to 207,938.90, 311,907.43 and 81,489.80

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Solution

The fourth proportional to 207,938.90, 311,907.43 and 81,489.80 is: 122,234.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,938.90 : 311,907.43 = 81,489.80 : x
  2. Step 2: Convert to fraction form
    207,938.90/311,907.43 = 81,489.80/x
  3. Step 3: Cross multiply
    207,938.90x = 311,907.43 × 81,489.80
  4. Step 4: Simplify right side
    207,938.90x = 25,417,274,089.21
  5. Step 5: Solve for x
    x = 25,417,274,089.21/207,938.90
  6. Step 6: Final answer
    x = 122,234.34

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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.