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Finding the Fourth Proportional to 150,998.90, 208,379.90 and 83,016.36

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Solution

The fourth proportional to 150,998.90, 208,379.90 and 83,016.36 is: 114,563.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,998.90 : 208,379.90 = 83,016.36 : x
  2. Step 2: Convert to fraction form
    150,998.90/208,379.90 = 83,016.36/x
  3. Step 3: Cross multiply
    150,998.90x = 208,379.90 × 83,016.36
  4. Step 4: Simplify right side
    150,998.90x = 17,298,940,380.08
  5. Step 5: Solve for x
    x = 17,298,940,380.08/150,998.90
  6. Step 6: Final answer
    x = 114,563.35

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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.