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Finding the Fourth Proportional to 150,982.29, 208,358.21 and 83,002.12

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Solution

The fourth proportional to 150,982.29, 208,358.21 and 83,002.12 is: 114,544.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,982.29 : 208,358.21 = 83,002.12 : x
  2. Step 2: Convert to fraction form
    150,982.29/208,358.21 = 83,002.12/x
  3. Step 3: Cross multiply
    150,982.29x = 208,358.21 × 83,002.12
  4. Step 4: Simplify right side
    150,982.29x = 17,294,173,149.41
  5. Step 5: Solve for x
    x = 17,294,173,149.41/150,982.29
  6. Step 6: Final answer
    x = 114,544.38

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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.