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Finding the Fourth Proportional to 207,607.50, 311,169.30 and 95,299.56

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Solution

The fourth proportional to 207,607.50, 311,169.30 and 95,299.56 is: 142,838.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,607.50 : 311,169.30 = 95,299.56 : x
  2. Step 2: Convert to fraction form
    207,607.50/311,169.30 = 95,299.56/x
  3. Step 3: Cross multiply
    207,607.50x = 311,169.30 × 95,299.56
  4. Step 4: Simplify right side
    207,607.50x = 29,654,297,375.51
  5. Step 5: Solve for x
    x = 29,654,297,375.51/207,607.50
  6. Step 6: Final answer
    x = 142,838.28

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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.