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Finding the Fourth Proportional to 150,383.98, 207,534.32 and 82,406.96

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Solution

The fourth proportional to 150,383.98, 207,534.32 and 82,406.96 is: 113,724.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,383.98 : 207,534.32 = 82,406.96 : x
  2. Step 2: Convert to fraction form
    150,383.98/207,534.32 = 82,406.96/x
  3. Step 3: Cross multiply
    150,383.98x = 207,534.32 × 82,406.96
  4. Step 4: Simplify right side
    150,383.98x = 17,102,272,406.87
  5. Step 5: Solve for x
    x = 17,102,272,406.87/150,383.98
  6. Step 6: Final answer
    x = 113,724.03

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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.