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Finding the Fourth Proportional to 150,979.16, 208,353.87 and 82,999.00

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Solution

The fourth proportional to 150,979.16, 208,353.87 and 82,999.00 is: 114,540.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,979.16 : 208,353.87 = 82,999.00 : x
  2. Step 2: Convert to fraction form
    150,979.16/208,353.87 = 82,999.00/x
  3. Step 3: Cross multiply
    150,979.16x = 208,353.87 × 82,999.00
  4. Step 4: Simplify right side
    150,979.16x = 17,293,161,814.36
  5. Step 5: Solve for x
    x = 17,293,161,814.36/150,979.16
  6. Step 6: Final answer
    x = 114,540.06

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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.