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Finding the Fourth Proportional to 207,902.70, 311,854.05 and 194,780.70

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Solution

The fourth proportional to 207,902.70, 311,854.05 and 194,780.70 is: 292,171.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,902.70 : 311,854.05 = 194,780.70 : x
  2. Step 2: Convert to fraction form
    207,902.70/311,854.05 = 194,780.70/x
  3. Step 3: Cross multiply
    207,902.70x = 311,854.05 × 194,780.70
  4. Step 4: Simplify right side
    207,902.70x = 60,743,150,156.84
  5. Step 5: Solve for x
    x = 60,743,150,156.84/207,902.70
  6. Step 6: Final answer
    x = 292,171.05

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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.