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Finding the Fourth Proportional to 150,491.93, 207,675.90 and 82,509.03

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Solution

The fourth proportional to 150,491.93, 207,675.90 and 82,509.03 is: 113,860.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,491.93 : 207,675.90 = 82,509.03 : x
  2. Step 2: Convert to fraction form
    150,491.93/207,675.90 = 82,509.03/x
  3. Step 3: Cross multiply
    150,491.93x = 207,675.90 × 82,509.03
  4. Step 4: Simplify right side
    150,491.93x = 17,135,137,063.38
  5. Step 5: Solve for x
    x = 17,135,137,063.38/150,491.93
  6. Step 6: Final answer
    x = 113,860.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.