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Finding the Fourth Proportional to 207,774.90, 311,808.15 and 133,076.70

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Solution

The fourth proportional to 207,774.90, 311,808.15 and 133,076.70 is: 199,708.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,774.90 : 311,808.15 = 133,076.70 : x
  2. Step 2: Convert to fraction form
    207,774.90/311,808.15 = 133,076.70/x
  3. Step 3: Cross multiply
    207,774.90x = 311,808.15 × 133,076.70
  4. Step 4: Simplify right side
    207,774.90x = 41,494,399,635.11
  5. Step 5: Solve for x
    x = 41,494,399,635.11/207,774.90
  6. Step 6: Final answer
    x = 199,708.43

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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.