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Finding the Fourth Proportional to 150,678.92, 207,936.29 and 82,697.01

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Solution

The fourth proportional to 150,678.92, 207,936.29 and 82,697.01 is: 114,121.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,678.92 : 207,936.29 = 82,697.01 : x
  2. Step 2: Convert to fraction form
    150,678.92/207,936.29 = 82,697.01/x
  3. Step 3: Cross multiply
    150,678.92x = 207,936.29 × 82,697.01
  4. Step 4: Simplify right side
    150,678.92x = 17,195,709,040.01
  5. Step 5: Solve for x
    x = 17,195,709,040.01/150,678.92
  6. Step 6: Final answer
    x = 114,121.53

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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.